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Finding the Fourth Proportional to 976.86, 1,348.65 and 584.01

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Solution

The fourth proportional to 976.86, 1,348.65 and 584.01 is: 806.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.86 : 1,348.65 = 584.01 : x
  2. Step 2: Convert to fraction form
    976.86/1,348.65 = 584.01/x
  3. Step 3: Cross multiply
    976.86x = 1,348.65 × 584.01
  4. Step 4: Simplify right side
    976.86x = 787,625.09
  5. Step 5: Solve for x
    x = 787,625.09/976.86
  6. Step 6: Final answer
    x = 806.28

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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.