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Finding the Fourth Proportional to 991.53, 1,487.31 and 342.25

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Solution

The fourth proportional to 991.53, 1,487.31 and 342.25 is: 513.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    991.53 : 1,487.31 = 342.25 : x
  2. Step 2: Convert to fraction form
    991.53/1,487.31 = 342.25/x
  3. Step 3: Cross multiply
    991.53x = 1,487.31 × 342.25
  4. Step 4: Simplify right side
    991.53x = 509,031.85
  5. Step 5: Solve for x
    x = 509,031.85/991.53
  6. Step 6: Final answer
    x = 513.38

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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.