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Finding the Fourth Proportional to 695.75, 1,043.42 and 435.47

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Solution

The fourth proportional to 695.75, 1,043.42 and 435.47 is: 653.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    695.75 : 1,043.42 = 435.47 : x
  2. Step 2: Convert to fraction form
    695.75/1,043.42 = 435.47/x
  3. Step 3: Cross multiply
    695.75x = 1,043.42 × 435.47
  4. Step 4: Simplify right side
    695.75x = 454,370.71
  5. Step 5: Solve for x
    x = 454,370.71/695.75
  6. Step 6: Final answer
    x = 653.07

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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.