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Finding the Fourth Proportional to 504.47, 754.13 and 452.30

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Solution

The fourth proportional to 504.47, 754.13 and 452.30 is: 676.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.47 : 754.13 = 452.30 : x
  2. Step 2: Convert to fraction form
    504.47/754.13 = 452.30/x
  3. Step 3: Cross multiply
    504.47x = 754.13 × 452.30
  4. Step 4: Simplify right side
    504.47x = 341,086.97
  5. Step 5: Solve for x
    x = 341,086.97/504.47
  6. Step 6: Final answer
    x = 676.14

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.