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Finding the Fourth Proportional to 836.13, 1,153.87 and 463.11

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Solution

The fourth proportional to 836.13, 1,153.87 and 463.11 is: 639.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.13 : 1,153.87 = 463.11 : x
  2. Step 2: Convert to fraction form
    836.13/1,153.87 = 463.11/x
  3. Step 3: Cross multiply
    836.13x = 1,153.87 × 463.11
  4. Step 4: Simplify right side
    836.13x = 534,368.74
  5. Step 5: Solve for x
    x = 534,368.74/836.13
  6. Step 6: Final answer
    x = 639.10

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.