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Finding the Fourth Proportional to 870.87, 1,201.71 and 477.90

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Solution

The fourth proportional to 870.87, 1,201.71 and 477.90 is: 659.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.87 : 1,201.71 = 477.90 : x
  2. Step 2: Convert to fraction form
    870.87/1,201.71 = 477.90/x
  3. Step 3: Cross multiply
    870.87x = 1,201.71 × 477.90
  4. Step 4: Simplify right side
    870.87x = 574,297.21
  5. Step 5: Solve for x
    x = 574,297.21/870.87
  6. Step 6: Final answer
    x = 659.45

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1.5x scale

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.