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Finding the Fourth Proportional to 836.77, 1,155.13 and 557.47

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Solution

The fourth proportional to 836.77, 1,155.13 and 557.47 is: 769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.77 : 1,155.13 = 557.47 : x
  2. Step 2: Convert to fraction form
    836.77/1,155.13 = 557.47/x
  3. Step 3: Cross multiply
    836.77x = 1,155.13 × 557.47
  4. Step 4: Simplify right side
    836.77x = 643,945.94
  5. Step 5: Solve for x
    x = 643,945.94/836.77
  6. Step 6: Final answer
    x = 769.57

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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.