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Finding the Fourth Proportional to 905.34, 1,248.60 and 695.45

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Solution

The fourth proportional to 905.34, 1,248.60 and 695.45 is: 959.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.34 : 1,248.60 = 695.45 : x
  2. Step 2: Convert to fraction form
    905.34/1,248.60 = 695.45/x
  3. Step 3: Cross multiply
    905.34x = 1,248.60 × 695.45
  4. Step 4: Simplify right side
    905.34x = 868,332.63
  5. Step 5: Solve for x
    x = 868,332.63/905.34
  6. Step 6: Final answer
    x = 959.12

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.