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Finding the Fourth Proportional to 836.39, 1,154.06 and 477.44

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Solution

The fourth proportional to 836.39, 1,154.06 and 477.44 is: 658.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    836.39 : 1,154.06 = 477.44 : x
  2. Step 2: Convert to fraction form
    836.39/1,154.06 = 477.44/x
  3. Step 3: Cross multiply
    836.39x = 1,154.06 × 477.44
  4. Step 4: Simplify right side
    836.39x = 550,986.25
  5. Step 5: Solve for x
    x = 550,986.25/836.39
  6. Step 6: Final answer
    x = 658.77

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Half scale
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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.