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Finding the Fourth Proportional to 870.19, 1,200.87 and 477.23

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Solution

The fourth proportional to 870.19, 1,200.87 and 477.23 is: 658.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.19 : 1,200.87 = 477.23 : x
  2. Step 2: Convert to fraction form
    870.19/1,200.87 = 477.23/x
  3. Step 3: Cross multiply
    870.19x = 1,200.87 × 477.23
  4. Step 4: Simplify right side
    870.19x = 573,085.19
  5. Step 5: Solve for x
    x = 573,085.19/870.19
  6. Step 6: Final answer
    x = 658.58

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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.