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Finding the Fourth Proportional to 765.84, 1,149.08 and 310.16

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Solution

The fourth proportional to 765.84, 1,149.08 and 310.16 is: 465.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    765.84 : 1,149.08 = 310.16 : x
  2. Step 2: Convert to fraction form
    765.84/1,149.08 = 310.16/x
  3. Step 3: Cross multiply
    765.84x = 1,149.08 × 310.16
  4. Step 4: Simplify right side
    765.84x = 356,398.65
  5. Step 5: Solve for x
    x = 356,398.65/765.84
  6. Step 6: Final answer
    x = 465.37

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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.