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Finding the Fourth Proportional to 689.80, 1,034.70 and 633.10

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Solution

The fourth proportional to 689.80, 1,034.70 and 633.10 is: 949.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689.80 : 1,034.70 = 633.10 : x
  2. Step 2: Convert to fraction form
    689.80/1,034.70 = 633.10/x
  3. Step 3: Cross multiply
    689.80x = 1,034.70 × 633.10
  4. Step 4: Simplify right side
    689.80x = 655,068.57
  5. Step 5: Solve for x
    x = 655,068.57/689.80
  6. Step 6: Final answer
    x = 949.65

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.