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Finding the Fourth Proportional to 945.40, 1,306.02 and 938.08

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Solution

The fourth proportional to 945.40, 1,306.02 and 938.08 is: 1,295.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.40 : 1,306.02 = 938.08 : x
  2. Step 2: Convert to fraction form
    945.40/1,306.02 = 938.08/x
  3. Step 3: Cross multiply
    945.40x = 1,306.02 × 938.08
  4. Step 4: Simplify right side
    945.40x = 1,225,151.24
  5. Step 5: Solve for x
    x = 1,225,151.24/945.40
  6. Step 6: Final answer
    x = 1,295.91

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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.