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Finding the Fourth Proportional to 459.61, 690.80 and 378.98

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Solution

The fourth proportional to 459.61, 690.80 and 378.98 is: 569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    459.61 : 690.80 = 378.98 : x
  2. Step 2: Convert to fraction form
    459.61/690.80 = 378.98/x
  3. Step 3: Cross multiply
    459.61x = 690.80 × 378.98
  4. Step 4: Simplify right side
    459.61x = 261,796.63
  5. Step 5: Solve for x
    x = 261,796.63/459.61
  6. Step 6: Final answer
    x = 569.61

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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.