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Finding the Fourth Proportional to 887.34, 1,224.46 and 509.18

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Solution

The fourth proportional to 887.34, 1,224.46 and 509.18 is: 702.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.34 : 1,224.46 = 509.18 : x
  2. Step 2: Convert to fraction form
    887.34/1,224.46 = 509.18/x
  3. Step 3: Cross multiply
    887.34x = 1,224.46 × 509.18
  4. Step 4: Simplify right side
    887.34x = 623,470.54
  5. Step 5: Solve for x
    x = 623,470.54/887.34
  6. Step 6: Final answer
    x = 702.63

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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.