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Finding the Fourth Proportional to 613.40, 847.67 and 456.26

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Solution

The fourth proportional to 613.40, 847.67 and 456.26 is: 630.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.40 : 847.67 = 456.26 : x
  2. Step 2: Convert to fraction form
    613.40/847.67 = 456.26/x
  3. Step 3: Cross multiply
    613.40x = 847.67 × 456.26
  4. Step 4: Simplify right side
    613.40x = 386,751.39
  5. Step 5: Solve for x
    x = 386,751.39/613.40
  6. Step 6: Final answer
    x = 630.51

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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.