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Finding the Fourth Proportional to 742.75, 1,025.07 and 428.02

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Solution

The fourth proportional to 742.75, 1,025.07 and 428.02 is: 590.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    742.75 : 1,025.07 = 428.02 : x
  2. Step 2: Convert to fraction form
    742.75/1,025.07 = 428.02/x
  3. Step 3: Cross multiply
    742.75x = 1,025.07 × 428.02
  4. Step 4: Simplify right side
    742.75x = 438,750.46
  5. Step 5: Solve for x
    x = 438,750.46/742.75
  6. Step 6: Final answer
    x = 590.71

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Find fourth proportional to 371.38, 512.54 and 214.01
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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.