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Finding the Fourth Proportional to 560.38, 839.71 and 300.42

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Solution

The fourth proportional to 560.38, 839.71 and 300.42 is: 450.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.38 : 839.71 = 300.42 : x
  2. Step 2: Convert to fraction form
    560.38/839.71 = 300.42/x
  3. Step 3: Cross multiply
    560.38x = 839.71 × 300.42
  4. Step 4: Simplify right side
    560.38x = 252,259.98
  5. Step 5: Solve for x
    x = 252,259.98/560.38
  6. Step 6: Final answer
    x = 450.16

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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.