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Finding the Fourth Proportional to 702.71, 969.74 and 392.21

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Solution

The fourth proportional to 702.71, 969.74 and 392.21 is: 541.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.71 : 969.74 = 392.21 : x
  2. Step 2: Convert to fraction form
    702.71/969.74 = 392.21/x
  3. Step 3: Cross multiply
    702.71x = 969.74 × 392.21
  4. Step 4: Simplify right side
    702.71x = 380,341.73
  5. Step 5: Solve for x
    x = 380,341.73/702.71
  6. Step 6: Final answer
    x = 541.25

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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.