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Finding the Fourth Proportional to 433.16, 646.38 and 387

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Solution

The fourth proportional to 433.16, 646.38 and 387 is: 577.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.16 : 646.38 = 387 : x
  2. Step 2: Convert to fraction form
    433.16/646.38 = 387/x
  3. Step 3: Cross multiply
    433.16x = 646.38 × 387
  4. Step 4: Simplify right side
    433.16x = 250,149.06
  5. Step 5: Solve for x
    x = 250,149.06/433.16
  6. Step 6: Final answer
    x = 577.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.