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Finding the Fourth Proportional to 836.13, 1,154.22 and 500.15

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Solution

The fourth proportional to 836.13, 1,154.22 and 500.15 is: 690.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.13 : 1,154.22 = 500.15 : x
  2. Step 2: Convert to fraction form
    836.13/1,154.22 = 500.15/x
  3. Step 3: Cross multiply
    836.13x = 1,154.22 × 500.15
  4. Step 4: Simplify right side
    836.13x = 577,277.36
  5. Step 5: Solve for x
    x = 577,277.36/836.13
  6. Step 6: Final answer
    x = 690.42

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1.5x scale

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.