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Finding the Fourth Proportional to 602.24, 899.02 and 557.16

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Solution

The fourth proportional to 602.24, 899.02 and 557.16 is: 831.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.24 : 899.02 = 557.16 : x
  2. Step 2: Convert to fraction form
    602.24/899.02 = 557.16/x
  3. Step 3: Cross multiply
    602.24x = 899.02 × 557.16
  4. Step 4: Simplify right side
    602.24x = 500,897.98
  5. Step 5: Solve for x
    x = 500,897.98/602.24
  6. Step 6: Final answer
    x = 831.72

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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.