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Finding the Fourth Proportional to 834.76, 1,152.04 and 461.78

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Solution

The fourth proportional to 834.76, 1,152.04 and 461.78 is: 637.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    834.76 : 1,152.04 = 461.78 : x
  2. Step 2: Convert to fraction form
    834.76/1,152.04 = 461.78/x
  3. Step 3: Cross multiply
    834.76x = 1,152.04 × 461.78
  4. Step 4: Simplify right side
    834.76x = 531,989.03
  5. Step 5: Solve for x
    x = 531,989.03/834.76
  6. Step 6: Final answer
    x = 637.30

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Find fourth proportional to 417.38, 576.02 and 230.89
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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.