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Finding the Fourth Proportional to 1,036.28, 1,437.48 and 980.93

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Solution

The fourth proportional to 1,036.28, 1,437.48 and 980.93 is: 1,360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.28 : 1,437.48 = 980.93 : x
  2. Step 2: Convert to fraction form
    1,036.28/1,437.48 = 980.93/x
  3. Step 3: Cross multiply
    1,036.28x = 1,437.48 × 980.93
  4. Step 4: Simplify right side
    1,036.28x = 1,410,070.85
  5. Step 5: Solve for x
    x = 1,410,070.85/1,036.28
  6. Step 6: Final answer
    x = 1,360.70

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.