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Finding the Fourth Proportional to 602.03, 829.98 and 402.87

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Solution

The fourth proportional to 602.03, 829.98 and 402.87 is: 555.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.03 : 829.98 = 402.87 : x
  2. Step 2: Convert to fraction form
    602.03/829.98 = 402.87/x
  3. Step 3: Cross multiply
    602.03x = 829.98 × 402.87
  4. Step 4: Simplify right side
    602.03x = 334,377.16
  5. Step 5: Solve for x
    x = 334,377.16/602.03
  6. Step 6: Final answer
    x = 555.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.