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Finding the Fourth Proportional to 870.35, 1,201.10 and 477.39

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Solution

The fourth proportional to 870.35, 1,201.10 and 477.39 is: 658.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.35 : 1,201.10 = 477.39 : x
  2. Step 2: Convert to fraction form
    870.35/1,201.10 = 477.39/x
  3. Step 3: Cross multiply
    870.35x = 1,201.10 × 477.39
  4. Step 4: Simplify right side
    870.35x = 573,395.25
  5. Step 5: Solve for x
    x = 573,395.25/870.35
  6. Step 6: Final answer
    x = 658.81

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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.