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Finding the Fourth Proportional to 1,125.67, 1,688.82 and 385.45

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Solution

The fourth proportional to 1,125.67, 1,688.82 and 385.45 is: 578.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,125.67 : 1,688.82 = 385.45 : x
  2. Step 2: Convert to fraction form
    1,125.67/1,688.82 = 385.45/x
  3. Step 3: Cross multiply
    1,125.67x = 1,688.82 × 385.45
  4. Step 4: Simplify right side
    1,125.67x = 650,958.00
  5. Step 5: Solve for x
    x = 650,958.00/1,125.67
  6. Step 6: Final answer
    x = 578.28

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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.