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Finding the Fourth Proportional to 602.74, 901.32 and 438.72

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Solution

The fourth proportional to 602.74, 901.32 and 438.72 is: 656.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.74 : 901.32 = 438.72 : x
  2. Step 2: Convert to fraction form
    602.74/901.32 = 438.72/x
  3. Step 3: Cross multiply
    602.74x = 901.32 × 438.72
  4. Step 4: Simplify right side
    602.74x = 395,427.11
  5. Step 5: Solve for x
    x = 395,427.11/602.74
  6. Step 6: Final answer
    x = 656.05

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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.