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Finding the Fourth Proportional to 948.89, 1,424.24 and 889.20

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Solution

The fourth proportional to 948.89, 1,424.24 and 889.20 is: 1,334.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.89 : 1,424.24 = 889.20 : x
  2. Step 2: Convert to fraction form
    948.89/1,424.24 = 889.20/x
  3. Step 3: Cross multiply
    948.89x = 1,424.24 × 889.20
  4. Step 4: Simplify right side
    948.89x = 1,266,429.76
  5. Step 5: Solve for x
    x = 1,266,429.76/948.89
  6. Step 6: Final answer
    x = 1,334.65

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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.