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Finding the Fourth Proportional to 511.10, 770.65 and 493.10

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Solution

The fourth proportional to 511.10, 770.65 and 493.10 is: 743.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    511.10 : 770.65 = 493.10 : x
  2. Step 2: Convert to fraction form
    511.10/770.65 = 493.10/x
  3. Step 3: Cross multiply
    511.10x = 770.65 × 493.10
  4. Step 4: Simplify right side
    511.10x = 380,005.05
  5. Step 5: Solve for x
    x = 380,005.05/511.10
  6. Step 6: Final answer
    x = 743.50

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Double scale
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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.