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Finding the Fourth Proportional to 517.64, 772.43 and 505.29

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Solution

The fourth proportional to 517.64, 772.43 and 505.29 is: 754.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.64 : 772.43 = 505.29 : x
  2. Step 2: Convert to fraction form
    517.64/772.43 = 505.29/x
  3. Step 3: Cross multiply
    517.64x = 772.43 × 505.29
  4. Step 4: Simplify right side
    517.64x = 390,298.63
  5. Step 5: Solve for x
    x = 390,298.63/517.64
  6. Step 6: Final answer
    x = 754.00

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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.