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Finding the Fourth Proportional to 460.80, 688.50 and 378.59

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Solution

The fourth proportional to 460.80, 688.50 and 378.59 is: 565.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.80 : 688.50 = 378.59 : x
  2. Step 2: Convert to fraction form
    460.80/688.50 = 378.59/x
  3. Step 3: Cross multiply
    460.80x = 688.50 × 378.59
  4. Step 4: Simplify right side
    460.80x = 260,655.77
  5. Step 5: Solve for x
    x = 260,655.77/460.80
  6. Step 6: Final answer
    x = 565.66

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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.