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Finding the Fourth Proportional to 613.65, 846.26 and 473.54

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Solution

The fourth proportional to 613.65, 846.26 and 473.54 is: 653.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.65 : 846.26 = 473.54 : x
  2. Step 2: Convert to fraction form
    613.65/846.26 = 473.54/x
  3. Step 3: Cross multiply
    613.65x = 846.26 × 473.54
  4. Step 4: Simplify right side
    613.65x = 400,737.71
  5. Step 5: Solve for x
    x = 400,737.71/613.65
  6. Step 6: Final answer
    x = 653.04

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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.