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Finding the Fourth Proportional to 977.29, 1,348.63 and 535.18

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Solution

The fourth proportional to 977.29, 1,348.63 and 535.18 is: 738.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    977.29 : 1,348.63 = 535.18 : x
  2. Step 2: Convert to fraction form
    977.29/1,348.63 = 535.18/x
  3. Step 3: Cross multiply
    977.29x = 1,348.63 × 535.18
  4. Step 4: Simplify right side
    977.29x = 721,759.80
  5. Step 5: Solve for x
    x = 721,759.80/977.29
  6. Step 6: Final answer
    x = 738.53

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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.