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Finding the Fourth Proportional to 504.15, 754.20 and 436.43

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Solution

The fourth proportional to 504.15, 754.20 and 436.43 is: 652.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    504.15 : 754.20 = 436.43 : x
  2. Step 2: Convert to fraction form
    504.15/754.20 = 436.43/x
  3. Step 3: Cross multiply
    504.15x = 754.20 × 436.43
  4. Step 4: Simplify right side
    504.15x = 329,151.74
  5. Step 5: Solve for x
    x = 329,151.74/504.15
  6. Step 6: Final answer
    x = 652.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.