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Finding the Fourth Proportional to 652.95, 979.47 and 409.14

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Solution

The fourth proportional to 652.95, 979.47 and 409.14 is: 613.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.95 : 979.47 = 409.14 : x
  2. Step 2: Convert to fraction form
    652.95/979.47 = 409.14/x
  3. Step 3: Cross multiply
    652.95x = 979.47 × 409.14
  4. Step 4: Simplify right side
    652.95x = 400,740.36
  5. Step 5: Solve for x
    x = 400,740.36/652.95
  6. Step 6: Final answer
    x = 613.74

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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.