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Finding the Fourth Proportional to 611.70, 911.24 and 597.30

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Solution

The fourth proportional to 611.70, 911.24 and 597.30 is: 889.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.70 : 911.24 = 597.30 : x
  2. Step 2: Convert to fraction form
    611.70/911.24 = 597.30/x
  3. Step 3: Cross multiply
    611.70x = 911.24 × 597.30
  4. Step 4: Simplify right side
    611.70x = 544,280.67
  5. Step 5: Solve for x
    x = 544,280.67/611.70
  6. Step 6: Final answer
    x = 889.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.