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Finding the Fourth Proportional to 924.08, 1,384.34 and 577.55

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Solution

The fourth proportional to 924.08, 1,384.34 and 577.55 is: 865.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.08 : 1,384.34 = 577.55 : x
  2. Step 2: Convert to fraction form
    924.08/1,384.34 = 577.55/x
  3. Step 3: Cross multiply
    924.08x = 1,384.34 × 577.55
  4. Step 4: Simplify right side
    924.08x = 799,515.76
  5. Step 5: Solve for x
    x = 799,515.76/924.08
  6. Step 6: Final answer
    x = 865.21

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.