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Finding the Fourth Proportional to 709.72, 1,063.08 and 367

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Solution

The fourth proportional to 709.72, 1,063.08 and 367 is: 549.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.72 : 1,063.08 = 367 : x
  2. Step 2: Convert to fraction form
    709.72/1,063.08 = 367/x
  3. Step 3: Cross multiply
    709.72x = 1,063.08 × 367
  4. Step 4: Simplify right side
    709.72x = 390,150.36
  5. Step 5: Solve for x
    x = 390,150.36/709.72
  6. Step 6: Final answer
    x = 549.72

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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.