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Finding the Fourth Proportional to 832.70, 1,149.57 and 645.77

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Solution

The fourth proportional to 832.70, 1,149.57 and 645.77 is: 891.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    832.70 : 1,149.57 = 645.77 : x
  2. Step 2: Convert to fraction form
    832.70/1,149.57 = 645.77/x
  3. Step 3: Cross multiply
    832.70x = 1,149.57 × 645.77
  4. Step 4: Simplify right side
    832.70x = 742,360.69
  5. Step 5: Solve for x
    x = 742,360.69/832.70
  6. Step 6: Final answer
    x = 891.51

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.