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Finding the Fourth Proportional to 889.30, 1,227.40 and 558.02

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Solution

The fourth proportional to 889.30, 1,227.40 and 558.02 is: 770.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    889.30 : 1,227.40 = 558.02 : x
  2. Step 2: Convert to fraction form
    889.30/1,227.40 = 558.02/x
  3. Step 3: Cross multiply
    889.30x = 1,227.40 × 558.02
  4. Step 4: Simplify right side
    889.30x = 684,913.75
  5. Step 5: Solve for x
    x = 684,913.75/889.30
  6. Step 6: Final answer
    x = 770.17

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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.