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Finding the Fourth Proportional to 707.87, 1,057.24 and 610.67

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Solution

The fourth proportional to 707.87, 1,057.24 and 610.67 is: 912.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    707.87 : 1,057.24 = 610.67 : x
  2. Step 2: Convert to fraction form
    707.87/1,057.24 = 610.67/x
  3. Step 3: Cross multiply
    707.87x = 1,057.24 × 610.67
  4. Step 4: Simplify right side
    707.87x = 645,624.75
  5. Step 5: Solve for x
    x = 645,624.75/707.87
  6. Step 6: Final answer
    x = 912.07

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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.