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Finding the Fourth Proportional to 883.98, 1,219.59 and 552.87

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Solution

The fourth proportional to 883.98, 1,219.59 and 552.87 is: 762.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    883.98 : 1,219.59 = 552.87 : x
  2. Step 2: Convert to fraction form
    883.98/1,219.59 = 552.87/x
  3. Step 3: Cross multiply
    883.98x = 1,219.59 × 552.87
  4. Step 4: Simplify right side
    883.98x = 674,274.72
  5. Step 5: Solve for x
    x = 674,274.72/883.98
  6. Step 6: Final answer
    x = 762.77

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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.