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Finding the Fourth Proportional to 870.57, 1,201.40 and 477.60

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Solution

The fourth proportional to 870.57, 1,201.40 and 477.60 is: 659.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.57 : 1,201.40 = 477.60 : x
  2. Step 2: Convert to fraction form
    870.57/1,201.40 = 477.60/x
  3. Step 3: Cross multiply
    870.57x = 1,201.40 × 477.60
  4. Step 4: Simplify right side
    870.57x = 573,786.25
  5. Step 5: Solve for x
    x = 573,786.25/870.57
  6. Step 6: Final answer
    x = 659.09

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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.