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Finding the Fourth Proportional to 810.29, 1,214.91 and 387.96

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Solution

The fourth proportional to 810.29, 1,214.91 and 387.96 is: 581.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.29 : 1,214.91 = 387.96 : x
  2. Step 2: Convert to fraction form
    810.29/1,214.91 = 387.96/x
  3. Step 3: Cross multiply
    810.29x = 1,214.91 × 387.96
  4. Step 4: Simplify right side
    810.29x = 471,340.49
  5. Step 5: Solve for x
    x = 471,340.49/810.29
  6. Step 6: Final answer
    x = 581.70

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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.