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Finding the Fourth Proportional to 711.76, 977.98 and 580.54

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Solution

The fourth proportional to 711.76, 977.98 and 580.54 is: 797.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    711.76 : 977.98 = 580.54 : x
  2. Step 2: Convert to fraction form
    711.76/977.98 = 580.54/x
  3. Step 3: Cross multiply
    711.76x = 977.98 × 580.54
  4. Step 4: Simplify right side
    711.76x = 567,754.79
  5. Step 5: Solve for x
    x = 567,754.79/711.76
  6. Step 6: Final answer
    x = 797.68

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.