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Finding the Fourth Proportional to 517.77, 714.57 and 284.91

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Solution

The fourth proportional to 517.77, 714.57 and 284.91 is: 393.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    517.77 : 714.57 = 284.91 : x
  2. Step 2: Convert to fraction form
    517.77/714.57 = 284.91/x
  3. Step 3: Cross multiply
    517.77x = 714.57 × 284.91
  4. Step 4: Simplify right side
    517.77x = 203,588.14
  5. Step 5: Solve for x
    x = 203,588.14/517.77
  6. Step 6: Final answer
    x = 393.20

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.