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Finding the Fourth Proportional to 696.42, 1,042.21 and 432.77

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Solution

The fourth proportional to 696.42, 1,042.21 and 432.77 is: 647.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.42 : 1,042.21 = 432.77 : x
  2. Step 2: Convert to fraction form
    696.42/1,042.21 = 432.77/x
  3. Step 3: Cross multiply
    696.42x = 1,042.21 × 432.77
  4. Step 4: Simplify right side
    696.42x = 451,030.93
  5. Step 5: Solve for x
    x = 451,030.93/696.42
  6. Step 6: Final answer
    x = 647.64

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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.