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Finding the Fourth Proportional to 810.65, 1,215.74 and 463.92

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Solution

The fourth proportional to 810.65, 1,215.74 and 463.92 is: 695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.65 : 1,215.74 = 463.92 : x
  2. Step 2: Convert to fraction form
    810.65/1,215.74 = 463.92/x
  3. Step 3: Cross multiply
    810.65x = 1,215.74 × 463.92
  4. Step 4: Simplify right side
    810.65x = 564,003.78
  5. Step 5: Solve for x
    x = 564,003.78/810.65
  6. Step 6: Final answer
    x = 695.74

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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.