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Finding the Fourth Proportional to 887.04, 1,224 and 508.92

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Solution

The fourth proportional to 887.04, 1,224 and 508.92 is: 702.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    887.04 : 1,224 = 508.92 : x
  2. Step 2: Convert to fraction form
    887.04/1,224 = 508.92/x
  3. Step 3: Cross multiply
    887.04x = 1,224 × 508.92
  4. Step 4: Simplify right side
    887.04x = 622,918.08
  5. Step 5: Solve for x
    x = 622,918.08/887.04
  6. Step 6: Final answer
    x = 702.24

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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.