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Finding the Fourth Proportional to 976.98, 1,348.20 and 583.80

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Solution

The fourth proportional to 976.98, 1,348.20 and 583.80 is: 805.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.98 : 1,348.20 = 583.80 : x
  2. Step 2: Convert to fraction form
    976.98/1,348.20 = 583.80/x
  3. Step 3: Cross multiply
    976.98x = 1,348.20 × 583.80
  4. Step 4: Simplify right side
    976.98x = 787,079.16
  5. Step 5: Solve for x
    x = 787,079.16/976.98
  6. Step 6: Final answer
    x = 805.62

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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.