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Finding the Fourth Proportional to 379.80, 566.64 and 375.78

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Solution

The fourth proportional to 379.80, 566.64 and 375.78 is: 560.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    379.80 : 566.64 = 375.78 : x
  2. Step 2: Convert to fraction form
    379.80/566.64 = 375.78/x
  3. Step 3: Cross multiply
    379.80x = 566.64 × 375.78
  4. Step 4: Simplify right side
    379.80x = 212,931.98
  5. Step 5: Solve for x
    x = 212,931.98/379.80
  6. Step 6: Final answer
    x = 560.64

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.