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Finding the Fourth Proportional to 709.85, 1,065.08 and 299.08

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Solution

The fourth proportional to 709.85, 1,065.08 and 299.08 is: 448.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.85 : 1,065.08 = 299.08 : x
  2. Step 2: Convert to fraction form
    709.85/1,065.08 = 299.08/x
  3. Step 3: Cross multiply
    709.85x = 1,065.08 × 299.08
  4. Step 4: Simplify right side
    709.85x = 318,544.13
  5. Step 5: Solve for x
    x = 318,544.13/709.85
  6. Step 6: Final answer
    x = 448.75

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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.