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Finding the Fourth Proportional to 702.80, 1,054.34 and 356.33

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Solution

The fourth proportional to 702.80, 1,054.34 and 356.33 is: 534.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    702.80 : 1,054.34 = 356.33 : x
  2. Step 2: Convert to fraction form
    702.80/1,054.34 = 356.33/x
  3. Step 3: Cross multiply
    702.80x = 1,054.34 × 356.33
  4. Step 4: Simplify right side
    702.80x = 375,685.92
  5. Step 5: Solve for x
    x = 375,685.92/702.80
  6. Step 6: Final answer
    x = 534.56

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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.