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Finding the Fourth Proportional to 602.64, 902.52 and 358.74

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Solution

The fourth proportional to 602.64, 902.52 and 358.74 is: 537.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.64 : 902.52 = 358.74 : x
  2. Step 2: Convert to fraction form
    602.64/902.52 = 358.74/x
  3. Step 3: Cross multiply
    602.64x = 902.52 × 358.74
  4. Step 4: Simplify right side
    602.64x = 323,770.02
  5. Step 5: Solve for x
    x = 323,770.02/602.64
  6. Step 6: Final answer
    x = 537.25

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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.