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Finding the Fourth Proportional to 602.34, 901.97 and 407.13

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Solution

The fourth proportional to 602.34, 901.97 and 407.13 is: 609.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.34 : 901.97 = 407.13 : x
  2. Step 2: Convert to fraction form
    602.34/901.97 = 407.13/x
  3. Step 3: Cross multiply
    602.34x = 901.97 × 407.13
  4. Step 4: Simplify right side
    602.34x = 367,215.15
  5. Step 5: Solve for x
    x = 367,215.15/602.34
  6. Step 6: Final answer
    x = 609.65

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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.