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Finding the Fourth Proportional to 924.16, 1,385.78 and 307.65

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Solution

The fourth proportional to 924.16, 1,385.78 and 307.65 is: 461.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    924.16 : 1,385.78 = 307.65 : x
  2. Step 2: Convert to fraction form
    924.16/1,385.78 = 307.65/x
  3. Step 3: Cross multiply
    924.16x = 1,385.78 × 307.65
  4. Step 4: Simplify right side
    924.16x = 426,328.48
  5. Step 5: Solve for x
    x = 426,328.48/924.16
  6. Step 6: Final answer
    x = 461.32

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