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Finding the Fourth Proportional to 693.02, 1,043.57 and 511.68

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Solution

The fourth proportional to 693.02, 1,043.57 and 511.68 is: 770.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    693.02 : 1,043.57 = 511.68 : x
  2. Step 2: Convert to fraction form
    693.02/1,043.57 = 511.68/x
  3. Step 3: Cross multiply
    693.02x = 1,043.57 × 511.68
  4. Step 4: Simplify right side
    693.02x = 533,979.09
  5. Step 5: Solve for x
    x = 533,979.09/693.02
  6. Step 6: Final answer
    x = 770.51

Related Problems

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Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.