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Finding the Fourth Proportional to 630.18, 869.49 and 394.16

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Solution

The fourth proportional to 630.18, 869.49 and 394.16 is: 543.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    630.18 : 869.49 = 394.16 : x
  2. Step 2: Convert to fraction form
    630.18/869.49 = 394.16/x
  3. Step 3: Cross multiply
    630.18x = 869.49 × 394.16
  4. Step 4: Simplify right side
    630.18x = 342,718.18
  5. Step 5: Solve for x
    x = 342,718.18/630.18
  6. Step 6: Final answer
    x = 543.84

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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.