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Finding the Fourth Proportional to 602.43, 904.40 and 574.74

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Solution

The fourth proportional to 602.43, 904.40 and 574.74 is: 862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.43 : 904.40 = 574.74 : x
  2. Step 2: Convert to fraction form
    602.43/904.40 = 574.74/x
  3. Step 3: Cross multiply
    602.43x = 904.40 × 574.74
  4. Step 4: Simplify right side
    602.43x = 519,794.86
  5. Step 5: Solve for x
    x = 519,794.86/602.43
  6. Step 6: Final answer
    x = 862.83

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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.