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Finding the Fourth Proportional to 642.96, 887.76 and 468.72

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Solution

The fourth proportional to 642.96, 887.76 and 468.72 is: 647.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.96 : 887.76 = 468.72 : x
  2. Step 2: Convert to fraction form
    642.96/887.76 = 468.72/x
  3. Step 3: Cross multiply
    642.96x = 887.76 × 468.72
  4. Step 4: Simplify right side
    642.96x = 416,110.87
  5. Step 5: Solve for x
    x = 416,110.87/642.96
  6. Step 6: Final answer
    x = 647.18

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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.