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Finding the Fourth Proportional to 708.79, 979.06 and 591.14

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Solution

The fourth proportional to 708.79, 979.06 and 591.14 is: 816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    708.79 : 979.06 = 591.14 : x
  2. Step 2: Convert to fraction form
    708.79/979.06 = 591.14/x
  3. Step 3: Cross multiply
    708.79x = 979.06 × 591.14
  4. Step 4: Simplify right side
    708.79x = 578,762.50
  5. Step 5: Solve for x
    x = 578,762.50/708.79
  6. Step 6: Final answer
    x = 816.55

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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.