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Finding the Fourth Proportional to 602.01, 830.51 and 477.86

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Solution

The fourth proportional to 602.01, 830.51 and 477.86 is: 659.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.01 : 830.51 = 477.86 : x
  2. Step 2: Convert to fraction form
    602.01/830.51 = 477.86/x
  3. Step 3: Cross multiply
    602.01x = 830.51 × 477.86
  4. Step 4: Simplify right side
    602.01x = 396,860.97
  5. Step 5: Solve for x
    x = 396,860.97/602.01
  6. Step 6: Final answer
    x = 659.23

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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.