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Finding the Fourth Proportional to 551.68, 761.28 and 404.32

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Solution

The fourth proportional to 551.68, 761.28 and 404.32 is: 557.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.68 : 761.28 = 404.32 : x
  2. Step 2: Convert to fraction form
    551.68/761.28 = 404.32/x
  3. Step 3: Cross multiply
    551.68x = 761.28 × 404.32
  4. Step 4: Simplify right side
    551.68x = 307,800.73
  5. Step 5: Solve for x
    x = 307,800.73/551.68
  6. Step 6: Final answer
    x = 557.93

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Why These Related Problems?

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