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Finding the Fourth Proportional to 754.99, 1,132.49 and 316.13

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Solution

The fourth proportional to 754.99, 1,132.49 and 316.13 is: 474.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    754.99 : 1,132.49 = 316.13 : x
  2. Step 2: Convert to fraction form
    754.99/1,132.49 = 316.13/x
  3. Step 3: Cross multiply
    754.99x = 1,132.49 × 316.13
  4. Step 4: Simplify right side
    754.99x = 358,009.19
  5. Step 5: Solve for x
    x = 358,009.19/754.99
  6. Step 6: Final answer
    x = 474.19

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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.