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Finding the Fourth Proportional to 517.02, 770.58 and 494.13

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Solution

The fourth proportional to 517.02, 770.58 and 494.13 is: 736.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.02 : 770.58 = 494.13 : x
  2. Step 2: Convert to fraction form
    517.02/770.58 = 494.13/x
  3. Step 3: Cross multiply
    517.02x = 770.58 × 494.13
  4. Step 4: Simplify right side
    517.02x = 380,761.00
  5. Step 5: Solve for x
    x = 380,761.00/517.02
  6. Step 6: Final answer
    x = 736.45

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.