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Finding the Fourth Proportional to 979.19, 1,351.05 and 586.13

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Solution

The fourth proportional to 979.19, 1,351.05 and 586.13 is: 808.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    979.19 : 1,351.05 = 586.13 : x
  2. Step 2: Convert to fraction form
    979.19/1,351.05 = 586.13/x
  3. Step 3: Cross multiply
    979.19x = 1,351.05 × 586.13
  4. Step 4: Simplify right side
    979.19x = 791,884.18
  5. Step 5: Solve for x
    x = 791,884.18/979.19
  6. Step 6: Final answer
    x = 808.72

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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.