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Finding the Fourth Proportional to 602.68, 900.87 and 521.34

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Solution

The fourth proportional to 602.68, 900.87 and 521.34 is: 779.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.68 : 900.87 = 521.34 : x
  2. Step 2: Convert to fraction form
    602.68/900.87 = 521.34/x
  3. Step 3: Cross multiply
    602.68x = 900.87 × 521.34
  4. Step 4: Simplify right side
    602.68x = 469,659.57
  5. Step 5: Solve for x
    x = 469,659.57/602.68
  6. Step 6: Final answer
    x = 779.29

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.