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Finding the Fourth Proportional to 591.32, 882.64 and 542.64

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Solution

The fourth proportional to 591.32, 882.64 and 542.64 is: 809.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    591.32 : 882.64 = 542.64 : x
  2. Step 2: Convert to fraction form
    591.32/882.64 = 542.64/x
  3. Step 3: Cross multiply
    591.32x = 882.64 × 542.64
  4. Step 4: Simplify right side
    591.32x = 478,955.77
  5. Step 5: Solve for x
    x = 478,955.77/591.32
  6. Step 6: Final answer
    x = 809.98

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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.