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Finding the Fourth Proportional to 976.26, 1,347.22 and 645.24

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Solution

The fourth proportional to 976.26, 1,347.22 and 645.24 is: 890.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.26 : 1,347.22 = 645.24 : x
  2. Step 2: Convert to fraction form
    976.26/1,347.22 = 645.24/x
  3. Step 3: Cross multiply
    976.26x = 1,347.22 × 645.24
  4. Step 4: Simplify right side
    976.26x = 869,280.23
  5. Step 5: Solve for x
    x = 869,280.23/976.26
  6. Step 6: Final answer
    x = 890.42

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Double scale
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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.