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Finding the Fourth Proportional to 810.39, 1,215.78 and 463.89

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Solution

The fourth proportional to 810.39, 1,215.78 and 463.89 is: 695.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    810.39 : 1,215.78 = 463.89 : x
  2. Step 2: Convert to fraction form
    810.39/1,215.78 = 463.89/x
  3. Step 3: Cross multiply
    810.39x = 1,215.78 × 463.89
  4. Step 4: Simplify right side
    810.39x = 563,988.18
  5. Step 5: Solve for x
    x = 563,988.18/810.39
  6. Step 6: Final answer
    x = 695.95

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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.