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Finding the Fourth Proportional to 717.45, 1,066.53 and 695.58

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Solution

The fourth proportional to 717.45, 1,066.53 and 695.58 is: 1,034.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    717.45 : 1,066.53 = 695.58 : x
  2. Step 2: Convert to fraction form
    717.45/1,066.53 = 695.58/x
  3. Step 3: Cross multiply
    717.45x = 1,066.53 × 695.58
  4. Step 4: Simplify right side
    717.45x = 741,856.94
  5. Step 5: Solve for x
    x = 741,856.94/717.45
  6. Step 6: Final answer
    x = 1,034.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.