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Finding the Fourth Proportional to 836.61, 1,154.38 and 463.57

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Solution

The fourth proportional to 836.61, 1,154.38 and 463.57 is: 639.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.61 : 1,154.38 = 463.57 : x
  2. Step 2: Convert to fraction form
    836.61/1,154.38 = 463.57/x
  3. Step 3: Cross multiply
    836.61x = 1,154.38 × 463.57
  4. Step 4: Simplify right side
    836.61x = 535,135.94
  5. Step 5: Solve for x
    x = 535,135.94/836.61
  6. Step 6: Final answer
    x = 639.65

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Double scale
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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.