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Finding the Fourth Proportional to 836.57, 1,154.94 and 557.19

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Solution

The fourth proportional to 836.57, 1,154.94 and 557.19 is: 769.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.57 : 1,154.94 = 557.19 : x
  2. Step 2: Convert to fraction form
    836.57/1,154.94 = 557.19/x
  3. Step 3: Cross multiply
    836.57x = 1,154.94 × 557.19
  4. Step 4: Simplify right side
    836.57x = 643,521.02
  5. Step 5: Solve for x
    x = 643,521.02/836.57
  6. Step 6: Final answer
    x = 769.24

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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.