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Finding the Fourth Proportional to 889.53, 1,227.15 and 557.79

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Solution

The fourth proportional to 889.53, 1,227.15 and 557.79 is: 769.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.53 : 1,227.15 = 557.79 : x
  2. Step 2: Convert to fraction form
    889.53/1,227.15 = 557.79/x
  3. Step 3: Cross multiply
    889.53x = 1,227.15 × 557.79
  4. Step 4: Simplify right side
    889.53x = 684,492.00
  5. Step 5: Solve for x
    x = 684,492.00/889.53
  6. Step 6: Final answer
    x = 769.50

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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.