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Finding the Fourth Proportional to 652.97, 978.65 and 305.85

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Solution

The fourth proportional to 652.97, 978.65 and 305.85 is: 458.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.97 : 978.65 = 305.85 : x
  2. Step 2: Convert to fraction form
    652.97/978.65 = 305.85/x
  3. Step 3: Cross multiply
    652.97x = 978.65 × 305.85
  4. Step 4: Simplify right side
    652.97x = 299,323.39
  5. Step 5: Solve for x
    x = 299,323.39/652.97
  6. Step 6: Final answer
    x = 458.40

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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.