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Finding the Fourth Proportional to 951.77, 1,315.15 and 742.47

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Solution

The fourth proportional to 951.77, 1,315.15 and 742.47 is: 1,025.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    951.77 : 1,315.15 = 742.47 : x
  2. Step 2: Convert to fraction form
    951.77/1,315.15 = 742.47/x
  3. Step 3: Cross multiply
    951.77x = 1,315.15 × 742.47
  4. Step 4: Simplify right side
    951.77x = 976,457.56
  5. Step 5: Solve for x
    x = 976,457.56/951.77
  6. Step 6: Final answer
    x = 1,025.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.