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Finding the Fourth Proportional to 1,036.39, 1,555.19 and 956.20

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Solution

The fourth proportional to 1,036.39, 1,555.19 and 956.20 is: 1,434.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.39 : 1,555.19 = 956.20 : x
  2. Step 2: Convert to fraction form
    1,036.39/1,555.19 = 956.20/x
  3. Step 3: Cross multiply
    1,036.39x = 1,555.19 × 956.20
  4. Step 4: Simplify right side
    1,036.39x = 1,487,060.12
  5. Step 5: Solve for x
    x = 1,487,060.12/1,036.39
  6. Step 6: Final answer
    x = 1,434.85

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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.