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Finding the Fourth Proportional to 824.77, 1,138.18 and 475.45

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Solution

The fourth proportional to 824.77, 1,138.18 and 475.45 is: 656.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    824.77 : 1,138.18 = 475.45 : x
  2. Step 2: Convert to fraction form
    824.77/1,138.18 = 475.45/x
  3. Step 3: Cross multiply
    824.77x = 1,138.18 × 475.45
  4. Step 4: Simplify right side
    824.77x = 541,150.94
  5. Step 5: Solve for x
    x = 541,150.94/824.77
  6. Step 6: Final answer
    x = 656.13

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Find fourth proportional to 412.38, 569.09 and 237.73
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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.