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Finding the Fourth Proportional to 709.41, 978.10 and 591.56

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Solution

The fourth proportional to 709.41, 978.10 and 591.56 is: 815.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.41 : 978.10 = 591.56 : x
  2. Step 2: Convert to fraction form
    709.41/978.10 = 591.56/x
  3. Step 3: Cross multiply
    709.41x = 978.10 × 591.56
  4. Step 4: Simplify right side
    709.41x = 578,604.84
  5. Step 5: Solve for x
    x = 578,604.84/709.41
  6. Step 6: Final answer
    x = 815.61

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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.