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Finding the Fourth Proportional to 870.59, 1,305.50 and 408.00

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Solution

The fourth proportional to 870.59, 1,305.50 and 408.00 is: 611.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.59 : 1,305.50 = 408.00 : x
  2. Step 2: Convert to fraction form
    870.59/1,305.50 = 408.00/x
  3. Step 3: Cross multiply
    870.59x = 1,305.50 × 408.00
  4. Step 4: Simplify right side
    870.59x = 532,641.81
  5. Step 5: Solve for x
    x = 532,641.81/870.59
  6. Step 6: Final answer
    x = 611.82

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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.