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Finding the Fourth Proportional to 702.66, 970.52 and 482.34

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Solution

The fourth proportional to 702.66, 970.52 and 482.34 is: 666.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.66 : 970.52 = 482.34 : x
  2. Step 2: Convert to fraction form
    702.66/970.52 = 482.34/x
  3. Step 3: Cross multiply
    702.66x = 970.52 × 482.34
  4. Step 4: Simplify right side
    702.66x = 468,120.62
  5. Step 5: Solve for x
    x = 468,120.62/702.66
  6. Step 6: Final answer
    x = 666.21

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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.