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Finding the Fourth Proportional to 750.61, 1,125.98 and 263.77

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Solution

The fourth proportional to 750.61, 1,125.98 and 263.77 is: 395.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    750.61 : 1,125.98 = 263.77 : x
  2. Step 2: Convert to fraction form
    750.61/1,125.98 = 263.77/x
  3. Step 3: Cross multiply
    750.61x = 1,125.98 × 263.77
  4. Step 4: Simplify right side
    750.61x = 296,998.43
  5. Step 5: Solve for x
    x = 296,998.43/750.61
  6. Step 6: Final answer
    x = 395.68

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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.