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Finding the Fourth Proportional to 1,079.48, 1,620.35 and 956.87

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Solution

The fourth proportional to 1,079.48, 1,620.35 and 956.87 is: 1,436.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,079.48 : 1,620.35 = 956.87 : x
  2. Step 2: Convert to fraction form
    1,079.48/1,620.35 = 956.87/x
  3. Step 3: Cross multiply
    1,079.48x = 1,620.35 × 956.87
  4. Step 4: Simplify right side
    1,079.48x = 1,550,464.30
  5. Step 5: Solve for x
    x = 1,550,464.30/1,079.48
  6. Step 6: Final answer
    x = 1,436.31

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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.