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Finding the Fourth Proportional to 1,125.66, 1,688.76 and 395.31

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Solution

The fourth proportional to 1,125.66, 1,688.76 and 395.31 is: 593.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.66 : 1,688.76 = 395.31 : x
  2. Step 2: Convert to fraction form
    1,125.66/1,688.76 = 395.31/x
  3. Step 3: Cross multiply
    1,125.66x = 1,688.76 × 395.31
  4. Step 4: Simplify right side
    1,125.66x = 667,583.72
  5. Step 5: Solve for x
    x = 667,583.72/1,125.66
  6. Step 6: Final answer
    x = 593.06

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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.