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Finding the Fourth Proportional to 889, 1,227.58 and 557.98

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Solution

The fourth proportional to 889, 1,227.58 and 557.98 is: 770.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    889 : 1,227.58 = 557.98 : x
  2. Step 2: Convert to fraction form
    889/1,227.58 = 557.98/x
  3. Step 3: Cross multiply
    889x = 1,227.58 × 557.98
  4. Step 4: Simplify right side
    889x = 684,965.09
  5. Step 5: Solve for x
    x = 684,965.09/889
  6. Step 6: Final answer
    x = 770.49

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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.