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Finding the Fourth Proportional to 521.64, 718.02 and 374.04

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Solution

The fourth proportional to 521.64, 718.02 and 374.04 is: 514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    521.64 : 718.02 = 374.04 : x
  2. Step 2: Convert to fraction form
    521.64/718.02 = 374.04/x
  3. Step 3: Cross multiply
    521.64x = 718.02 × 374.04
  4. Step 4: Simplify right side
    521.64x = 268,568.20
  5. Step 5: Solve for x
    x = 268,568.20/521.64
  6. Step 6: Final answer
    x = 514.85

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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.