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Finding the Fourth Proportional to 810.11, 1,215.33 and 463.61

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Solution

The fourth proportional to 810.11, 1,215.33 and 463.61 is: 695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.11 : 1,215.33 = 463.61 : x
  2. Step 2: Convert to fraction form
    810.11/1,215.33 = 463.61/x
  3. Step 3: Cross multiply
    810.11x = 1,215.33 × 463.61
  4. Step 4: Simplify right side
    810.11x = 563,433.06
  5. Step 5: Solve for x
    x = 563,433.06/810.11
  6. Step 6: Final answer
    x = 695.51

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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.