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Finding the Fourth Proportional to 517.78, 780.53 and 473.99

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Solution

The fourth proportional to 517.78, 780.53 and 473.99 is: 714.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.78 : 780.53 = 473.99 : x
  2. Step 2: Convert to fraction form
    517.78/780.53 = 473.99/x
  3. Step 3: Cross multiply
    517.78x = 780.53 × 473.99
  4. Step 4: Simplify right side
    517.78x = 369,963.41
  5. Step 5: Solve for x
    x = 369,963.41/517.78
  6. Step 6: Final answer
    x = 714.52

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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.