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Finding the Fourth Proportional to 652.19, 975.97 and 478.43

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Solution

The fourth proportional to 652.19, 975.97 and 478.43 is: 715.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.19 : 975.97 = 478.43 : x
  2. Step 2: Convert to fraction form
    652.19/975.97 = 478.43/x
  3. Step 3: Cross multiply
    652.19x = 975.97 × 478.43
  4. Step 4: Simplify right side
    652.19x = 466,933.33
  5. Step 5: Solve for x
    x = 466,933.33/652.19
  6. Step 6: Final answer
    x = 715.95

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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.