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Finding the Fourth Proportional to 463.37, 693.52 and 386.49

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Solution

The fourth proportional to 463.37, 693.52 and 386.49 is: 578.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    463.37 : 693.52 = 386.49 : x
  2. Step 2: Convert to fraction form
    463.37/693.52 = 386.49/x
  3. Step 3: Cross multiply
    463.37x = 693.52 × 386.49
  4. Step 4: Simplify right side
    463.37x = 268,037.58
  5. Step 5: Solve for x
    x = 268,037.58/463.37
  6. Step 6: Final answer
    x = 578.45

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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.