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Finding the Fourth Proportional to 613.02, 846.58 and 389.38

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Solution

The fourth proportional to 613.02, 846.58 and 389.38 is: 537.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.02 : 846.58 = 389.38 : x
  2. Step 2: Convert to fraction form
    613.02/846.58 = 389.38/x
  3. Step 3: Cross multiply
    613.02x = 846.58 × 389.38
  4. Step 4: Simplify right side
    613.02x = 329,636.52
  5. Step 5: Solve for x
    x = 329,636.52/613.02
  6. Step 6: Final answer
    x = 537.72

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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.