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Finding the Fourth Proportional to 468.54, 702.79 and 314.53

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Solution

The fourth proportional to 468.54, 702.79 and 314.53 is: 471.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.54 : 702.79 = 314.53 : x
  2. Step 2: Convert to fraction form
    468.54/702.79 = 314.53/x
  3. Step 3: Cross multiply
    468.54x = 702.79 × 314.53
  4. Step 4: Simplify right side
    468.54x = 221,048.54
  5. Step 5: Solve for x
    x = 221,048.54/468.54
  6. Step 6: Final answer
    x = 471.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.