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Finding the Fourth Proportional to 610.55, 911.61 and 523.74

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Solution

The fourth proportional to 610.55, 911.61 and 523.74 is: 782.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.55 : 911.61 = 523.74 : x
  2. Step 2: Convert to fraction form
    610.55/911.61 = 523.74/x
  3. Step 3: Cross multiply
    610.55x = 911.61 × 523.74
  4. Step 4: Simplify right side
    610.55x = 477,444.00
  5. Step 5: Solve for x
    x = 477,444.00/610.55
  6. Step 6: Final answer
    x = 782.00

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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.