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Finding the Fourth Proportional to 948.64, 1,306.38 and 814.78

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Solution

The fourth proportional to 948.64, 1,306.38 and 814.78 is: 1,122.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.64 : 1,306.38 = 814.78 : x
  2. Step 2: Convert to fraction form
    948.64/1,306.38 = 814.78/x
  3. Step 3: Cross multiply
    948.64x = 1,306.38 × 814.78
  4. Step 4: Simplify right side
    948.64x = 1,064,412.30
  5. Step 5: Solve for x
    x = 1,064,412.30/948.64
  6. Step 6: Final answer
    x = 1,122.04

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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.