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Finding the Fourth Proportional to 870.58, 1,304.88 and 460.18

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Solution

The fourth proportional to 870.58, 1,304.88 and 460.18 is: 689.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.58 : 1,304.88 = 460.18 : x
  2. Step 2: Convert to fraction form
    870.58/1,304.88 = 460.18/x
  3. Step 3: Cross multiply
    870.58x = 1,304.88 × 460.18
  4. Step 4: Simplify right side
    870.58x = 600,479.68
  5. Step 5: Solve for x
    x = 600,479.68/870.58
  6. Step 6: Final answer
    x = 689.75

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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.