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Finding the Fourth Proportional to 870.25, 1,200.94 and 477.28

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Solution

The fourth proportional to 870.25, 1,200.94 and 477.28 is: 658.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.25 : 1,200.94 = 477.28 : x
  2. Step 2: Convert to fraction form
    870.25/1,200.94 = 477.28/x
  3. Step 3: Cross multiply
    870.25x = 1,200.94 × 477.28
  4. Step 4: Simplify right side
    870.25x = 573,176.25
  5. Step 5: Solve for x
    x = 573,176.25/870.25
  6. Step 6: Final answer
    x = 658.64

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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.