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Finding the Fourth Proportional to 1,465, 2,197.76 and 439.24

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Solution

The fourth proportional to 1,465, 2,197.76 and 439.24 is: 658.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,465 : 2,197.76 = 439.24 : x
  2. Step 2: Convert to fraction form
    1,465/2,197.76 = 439.24/x
  3. Step 3: Cross multiply
    1,465x = 2,197.76 × 439.24
  4. Step 4: Simplify right side
    1,465x = 965,344.10
  5. Step 5: Solve for x
    x = 965,344.10/1,465
  6. Step 6: Final answer
    x = 658.94

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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.