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Finding the Fourth Proportional to 889.30, 1,227.57 and 557.72

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Solution

The fourth proportional to 889.30, 1,227.57 and 557.72 is: 769.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.30 : 1,227.57 = 557.72 : x
  2. Step 2: Convert to fraction form
    889.30/1,227.57 = 557.72/x
  3. Step 3: Cross multiply
    889.30x = 1,227.57 × 557.72
  4. Step 4: Simplify right side
    889.30x = 684,642.68
  5. Step 5: Solve for x
    x = 684,642.68/889.30
  6. Step 6: Final answer
    x = 769.86

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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.