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Finding the Fourth Proportional to 924.07, 1,385.50 and 375.70

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Solution

The fourth proportional to 924.07, 1,385.50 and 375.70 is: 563.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.07 : 1,385.50 = 375.70 : x
  2. Step 2: Convert to fraction form
    924.07/1,385.50 = 375.70/x
  3. Step 3: Cross multiply
    924.07x = 1,385.50 × 375.70
  4. Step 4: Simplify right side
    924.07x = 520,530.47
  5. Step 5: Solve for x
    x = 520,530.47/924.07
  6. Step 6: Final answer
    x = 563.30

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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.