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Finding the Fourth Proportional to 870.24, 1,304.10 and 484.68

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Solution

The fourth proportional to 870.24, 1,304.10 and 484.68 is: 726.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.24 : 1,304.10 = 484.68 : x
  2. Step 2: Convert to fraction form
    870.24/1,304.10 = 484.68/x
  3. Step 3: Cross multiply
    870.24x = 1,304.10 × 484.68
  4. Step 4: Simplify right side
    870.24x = 632,071.19
  5. Step 5: Solve for x
    x = 632,071.19/870.24
  6. Step 6: Final answer
    x = 726.32

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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.