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Finding the Fourth Proportional to 652.68, 980.04 and 379.32

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Solution

The fourth proportional to 652.68, 980.04 and 379.32 is: 569.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    652.68 : 980.04 = 379.32 : x
  2. Step 2: Convert to fraction form
    652.68/980.04 = 379.32/x
  3. Step 3: Cross multiply
    652.68x = 980.04 × 379.32
  4. Step 4: Simplify right side
    652.68x = 371,748.77
  5. Step 5: Solve for x
    x = 371,748.77/652.68
  6. Step 6: Final answer
    x = 569.57

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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.