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Finding the Fourth Proportional to 1,444.66, 2,162.32 and 750.40

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Solution

The fourth proportional to 1,444.66, 2,162.32 and 750.40 is: 1,123.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,444.66 : 2,162.32 = 750.40 : x
  2. Step 2: Convert to fraction form
    1,444.66/2,162.32 = 750.40/x
  3. Step 3: Cross multiply
    1,444.66x = 2,162.32 × 750.40
  4. Step 4: Simplify right side
    1,444.66x = 1,622,597.65
  5. Step 5: Solve for x
    x = 1,622,597.65/1,444.66
  6. Step 6: Final answer
    x = 1,123.17

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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.