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Finding the Fourth Proportional to 560.76, 841.40 and 344.20

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Solution

The fourth proportional to 560.76, 841.40 and 344.20 is: 516.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.76 : 841.40 = 344.20 : x
  2. Step 2: Convert to fraction form
    560.76/841.40 = 344.20/x
  3. Step 3: Cross multiply
    560.76x = 841.40 × 344.20
  4. Step 4: Simplify right side
    560.76x = 289,609.88
  5. Step 5: Solve for x
    x = 289,609.88/560.76
  6. Step 6: Final answer
    x = 516.46

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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.