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Finding the Fourth Proportional to 945.95, 1,305.30 and 553.19

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Solution

The fourth proportional to 945.95, 1,305.30 and 553.19 is: 763.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.95 : 1,305.30 = 553.19 : x
  2. Step 2: Convert to fraction form
    945.95/1,305.30 = 553.19/x
  3. Step 3: Cross multiply
    945.95x = 1,305.30 × 553.19
  4. Step 4: Simplify right side
    945.95x = 722,082.17
  5. Step 5: Solve for x
    x = 722,082.17/945.95
  6. Step 6: Final answer
    x = 763.34

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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.