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Finding the Fourth Proportional to 750.23, 1,125.57 and 256.65

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Solution

The fourth proportional to 750.23, 1,125.57 and 256.65 is: 385.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.23 : 1,125.57 = 256.65 : x
  2. Step 2: Convert to fraction form
    750.23/1,125.57 = 256.65/x
  3. Step 3: Cross multiply
    750.23x = 1,125.57 × 256.65
  4. Step 4: Simplify right side
    750.23x = 288,876.39
  5. Step 5: Solve for x
    x = 288,876.39/750.23
  6. Step 6: Final answer
    x = 385.05

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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.