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Finding the Fourth Proportional to 837.13, 1,154.84 and 500.87

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Solution

The fourth proportional to 837.13, 1,154.84 and 500.87 is: 690.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    837.13 : 1,154.84 = 500.87 : x
  2. Step 2: Convert to fraction form
    837.13/1,154.84 = 500.87/x
  3. Step 3: Cross multiply
    837.13x = 1,154.84 × 500.87
  4. Step 4: Simplify right side
    837.13x = 578,428.88
  5. Step 5: Solve for x
    x = 578,428.88/837.13
  6. Step 6: Final answer
    x = 690.97

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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.