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Finding the Fourth Proportional to 1,049.13, 1,580.80 and 870.52

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Solution

The fourth proportional to 1,049.13, 1,580.80 and 870.52 is: 1,311.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,049.13 : 1,580.80 = 870.52 : x
  2. Step 2: Convert to fraction form
    1,049.13/1,580.80 = 870.52/x
  3. Step 3: Cross multiply
    1,049.13x = 1,580.80 × 870.52
  4. Step 4: Simplify right side
    1,049.13x = 1,376,118.02
  5. Step 5: Solve for x
    x = 1,376,118.02/1,049.13
  6. Step 6: Final answer
    x = 1,311.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.