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Finding the Fourth Proportional to 945.38, 1,305.24 and 880.04

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Solution

The fourth proportional to 945.38, 1,305.24 and 880.04 is: 1,215.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.38 : 1,305.24 = 880.04 : x
  2. Step 2: Convert to fraction form
    945.38/1,305.24 = 880.04/x
  3. Step 3: Cross multiply
    945.38x = 1,305.24 × 880.04
  4. Step 4: Simplify right side
    945.38x = 1,148,663.41
  5. Step 5: Solve for x
    x = 1,148,663.41/945.38
  6. Step 6: Final answer
    x = 1,215.03

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1.5x scale

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.