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Finding the Fourth Proportional to 687.16, 1,030.38 and 361.72

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Solution

The fourth proportional to 687.16, 1,030.38 and 361.72 is: 542.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    687.16 : 1,030.38 = 361.72 : x
  2. Step 2: Convert to fraction form
    687.16/1,030.38 = 361.72/x
  3. Step 3: Cross multiply
    687.16x = 1,030.38 × 361.72
  4. Step 4: Simplify right side
    687.16x = 372,709.05
  5. Step 5: Solve for x
    x = 372,709.05/687.16
  6. Step 6: Final answer
    x = 542.39

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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.