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Finding the Fourth Proportional to 948.14, 1,422.18 and 560.82

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Solution

The fourth proportional to 948.14, 1,422.18 and 560.82 is: 841.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.14 : 1,422.18 = 560.82 : x
  2. Step 2: Convert to fraction form
    948.14/1,422.18 = 560.82/x
  3. Step 3: Cross multiply
    948.14x = 1,422.18 × 560.82
  4. Step 4: Simplify right side
    948.14x = 797,586.99
  5. Step 5: Solve for x
    x = 797,586.99/948.14
  6. Step 6: Final answer
    x = 841.21

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.