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Finding the Fourth Proportional to 610.56, 917.87 and 473.67

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Solution

The fourth proportional to 610.56, 917.87 and 473.67 is: 712.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.56 : 917.87 = 473.67 : x
  2. Step 2: Convert to fraction form
    610.56/917.87 = 473.67/x
  3. Step 3: Cross multiply
    610.56x = 917.87 × 473.67
  4. Step 4: Simplify right side
    610.56x = 434,765.11
  5. Step 5: Solve for x
    x = 434,765.11/610.56
  6. Step 6: Final answer
    x = 712.08

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.