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Finding the Fourth Proportional to 905.63, 1,250.33 and 695.40

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Solution

The fourth proportional to 905.63, 1,250.33 and 695.40 is: 960.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    905.63 : 1,250.33 = 695.40 : x
  2. Step 2: Convert to fraction form
    905.63/1,250.33 = 695.40/x
  3. Step 3: Cross multiply
    905.63x = 1,250.33 × 695.40
  4. Step 4: Simplify right side
    905.63x = 869,483.24
  5. Step 5: Solve for x
    x = 869,483.24/905.63
  6. Step 6: Final answer
    x = 960.08

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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.