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Finding the Fourth Proportional to 645.50, 968.34 and 337.52

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Solution

The fourth proportional to 645.50, 968.34 and 337.52 is: 506.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.50 : 968.34 = 337.52 : x
  2. Step 2: Convert to fraction form
    645.50/968.34 = 337.52/x
  3. Step 3: Cross multiply
    645.50x = 968.34 × 337.52
  4. Step 4: Simplify right side
    645.50x = 326,834.12
  5. Step 5: Solve for x
    x = 326,834.12/645.50
  6. Step 6: Final answer
    x = 506.33

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1.5x scale

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.