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Finding the Fourth Proportional to 696.72, 1,043.02 and 435.86

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Solution

The fourth proportional to 696.72, 1,043.02 and 435.86 is: 652.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.72 : 1,043.02 = 435.86 : x
  2. Step 2: Convert to fraction form
    696.72/1,043.02 = 435.86/x
  3. Step 3: Cross multiply
    696.72x = 1,043.02 × 435.86
  4. Step 4: Simplify right side
    696.72x = 454,610.70
  5. Step 5: Solve for x
    x = 454,610.70/696.72
  6. Step 6: Final answer
    x = 652.50

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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.