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Finding the Fourth Proportional to 695.42, 1,043.38 and 421.70

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Solution

The fourth proportional to 695.42, 1,043.38 and 421.70 is: 632.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.42 : 1,043.38 = 421.70 : x
  2. Step 2: Convert to fraction form
    695.42/1,043.38 = 421.70/x
  3. Step 3: Cross multiply
    695.42x = 1,043.38 × 421.70
  4. Step 4: Simplify right side
    695.42x = 439,993.35
  5. Step 5: Solve for x
    x = 439,993.35/695.42
  6. Step 6: Final answer
    x = 632.70

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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.