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Finding the Fourth Proportional to 870.04, 1,305.78 and 611.92

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Solution

The fourth proportional to 870.04, 1,305.78 and 611.92 is: 918.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    870.04 : 1,305.78 = 611.92 : x
  2. Step 2: Convert to fraction form
    870.04/1,305.78 = 611.92/x
  3. Step 3: Cross multiply
    870.04x = 1,305.78 × 611.92
  4. Step 4: Simplify right side
    870.04x = 799,032.90
  5. Step 5: Solve for x
    x = 799,032.90/870.04
  6. Step 6: Final answer
    x = 918.39

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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.