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Finding the Fourth Proportional to 695.53, 1,042.77 and 421.55

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Solution

The fourth proportional to 695.53, 1,042.77 and 421.55 is: 632.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.53 : 1,042.77 = 421.55 : x
  2. Step 2: Convert to fraction form
    695.53/1,042.77 = 421.55/x
  3. Step 3: Cross multiply
    695.53x = 1,042.77 × 421.55
  4. Step 4: Simplify right side
    695.53x = 439,579.69
  5. Step 5: Solve for x
    x = 439,579.69/695.53
  6. Step 6: Final answer
    x = 632.01

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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.