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Finding the Fourth Proportional to 924.30, 1,385.08 and 403.83

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Solution

The fourth proportional to 924.30, 1,385.08 and 403.83 is: 605.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.30 : 1,385.08 = 403.83 : x
  2. Step 2: Convert to fraction form
    924.30/1,385.08 = 403.83/x
  3. Step 3: Cross multiply
    924.30x = 1,385.08 × 403.83
  4. Step 4: Simplify right side
    924.30x = 559,329.93
  5. Step 5: Solve for x
    x = 559,329.93/924.30
  6. Step 6: Final answer
    x = 605.14

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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.