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Finding the Fourth Proportional to 610.56, 909.16 and 601.83

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Solution

The fourth proportional to 610.56, 909.16 and 601.83 is: 896.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 909.16 = 601.83 : x
  2. Step 2: Convert to fraction form
    610.56/909.16 = 601.83/x
  3. Step 3: Cross multiply
    610.56x = 909.16 × 601.83
  4. Step 4: Simplify right side
    610.56x = 547,158.26
  5. Step 5: Solve for x
    x = 547,158.26/610.56
  6. Step 6: Final answer
    x = 896.16

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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.