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Finding the Fourth Proportional to 709.85, 979.02 and 584.40

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Solution

The fourth proportional to 709.85, 979.02 and 584.40 is: 806.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 979.02 = 584.40 : x
  2. Step 2: Convert to fraction form
    709.85/979.02 = 584.40/x
  3. Step 3: Cross multiply
    709.85x = 979.02 × 584.40
  4. Step 4: Simplify right side
    709.85x = 572,142.96
  5. Step 5: Solve for x
    x = 572,142.96/709.85
  6. Step 6: Final answer
    x = 806.00

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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.