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Finding the Fourth Proportional to 702.58, 969.54 and 422.65

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Solution

The fourth proportional to 702.58, 969.54 and 422.65 is: 583.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.58 : 969.54 = 422.65 : x
  2. Step 2: Convert to fraction form
    702.58/969.54 = 422.65/x
  3. Step 3: Cross multiply
    702.58x = 969.54 × 422.65
  4. Step 4: Simplify right side
    702.58x = 409,776.08
  5. Step 5: Solve for x
    x = 409,776.08/702.58
  6. Step 6: Final answer
    x = 583.24

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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.