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Finding the Fourth Proportional to 1,036.24, 1,560.50 and 749.68

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Solution

The fourth proportional to 1,036.24, 1,560.50 and 749.68 is: 1,128.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.24 : 1,560.50 = 749.68 : x
  2. Step 2: Convert to fraction form
    1,036.24/1,560.50 = 749.68/x
  3. Step 3: Cross multiply
    1,036.24x = 1,560.50 × 749.68
  4. Step 4: Simplify right side
    1,036.24x = 1,169,875.64
  5. Step 5: Solve for x
    x = 1,169,875.64/1,036.24
  6. Step 6: Final answer
    x = 1,128.96

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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.