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Finding the Fourth Proportional to 602.58, 901.97 and 435.52

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Solution

The fourth proportional to 602.58, 901.97 and 435.52 is: 651.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.58 : 901.97 = 435.52 : x
  2. Step 2: Convert to fraction form
    602.58/901.97 = 435.52/x
  3. Step 3: Cross multiply
    602.58x = 901.97 × 435.52
  4. Step 4: Simplify right side
    602.58x = 392,825.97
  5. Step 5: Solve for x
    x = 392,825.97/602.58
  6. Step 6: Final answer
    x = 651.91

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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.