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Finding the Fourth Proportional to 592.28, 816.90 and 557.40

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Solution

The fourth proportional to 592.28, 816.90 and 557.40 is: 768.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    592.28 : 816.90 = 557.40 : x
  2. Step 2: Convert to fraction form
    592.28/816.90 = 557.40/x
  3. Step 3: Cross multiply
    592.28x = 816.90 × 557.40
  4. Step 4: Simplify right side
    592.28x = 455,340.06
  5. Step 5: Solve for x
    x = 455,340.06/592.28
  6. Step 6: Final answer
    x = 768.79

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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.