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Finding the Fourth Proportional to 870, 1,304.40 and 563.76

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Solution

The fourth proportional to 870, 1,304.40 and 563.76 is: 845.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    870 : 1,304.40 = 563.76 : x
  2. Step 2: Convert to fraction form
    870/1,304.40 = 563.76/x
  3. Step 3: Cross multiply
    870x = 1,304.40 × 563.76
  4. Step 4: Simplify right side
    870x = 735,368.54
  5. Step 5: Solve for x
    x = 735,368.54/870
  6. Step 6: Final answer
    x = 845.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.