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Finding the Fourth Proportional to 619.54, 924.89 and 597.91

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Solution

The fourth proportional to 619.54, 924.89 and 597.91 is: 892.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.54 : 924.89 = 597.91 : x
  2. Step 2: Convert to fraction form
    619.54/924.89 = 597.91/x
  3. Step 3: Cross multiply
    619.54x = 924.89 × 597.91
  4. Step 4: Simplify right side
    619.54x = 553,001.80
  5. Step 5: Solve for x
    x = 553,001.80/619.54
  6. Step 6: Final answer
    x = 892.60

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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.