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Finding the Fourth Proportional to 696.53, 1,042.74 and 435.74

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Solution

The fourth proportional to 696.53, 1,042.74 and 435.74 is: 652.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.53 : 1,042.74 = 435.74 : x
  2. Step 2: Convert to fraction form
    696.53/1,042.74 = 435.74/x
  3. Step 3: Cross multiply
    696.53x = 1,042.74 × 435.74
  4. Step 4: Simplify right side
    696.53x = 454,366.56
  5. Step 5: Solve for x
    x = 454,366.56/696.53
  6. Step 6: Final answer
    x = 652.33

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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.