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Finding the Fourth Proportional to 710.13, 1,065.61 and 299.24

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Solution

The fourth proportional to 710.13, 1,065.61 and 299.24 is: 449.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    710.13 : 1,065.61 = 299.24 : x
  2. Step 2: Convert to fraction form
    710.13/1,065.61 = 299.24/x
  3. Step 3: Cross multiply
    710.13x = 1,065.61 × 299.24
  4. Step 4: Simplify right side
    710.13x = 318,872.18
  5. Step 5: Solve for x
    x = 318,872.18/710.13
  6. Step 6: Final answer
    x = 449.03

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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.