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Finding the Fourth Proportional to 887.60, 1,224.28 and 537.84

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Solution

The fourth proportional to 887.60, 1,224.28 and 537.84 is: 741.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.60 : 1,224.28 = 537.84 : x
  2. Step 2: Convert to fraction form
    887.60/1,224.28 = 537.84/x
  3. Step 3: Cross multiply
    887.60x = 1,224.28 × 537.84
  4. Step 4: Simplify right side
    887.60x = 658,466.76
  5. Step 5: Solve for x
    x = 658,466.76/887.60
  6. Step 6: Final answer
    x = 741.85

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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.