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Finding the Fourth Proportional to 560.96, 770.08 and 541.52

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Solution

The fourth proportional to 560.96, 770.08 and 541.52 is: 743.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.96 : 770.08 = 541.52 : x
  2. Step 2: Convert to fraction form
    560.96/770.08 = 541.52/x
  3. Step 3: Cross multiply
    560.96x = 770.08 × 541.52
  4. Step 4: Simplify right side
    560.96x = 417,013.72
  5. Step 5: Solve for x
    x = 417,013.72/560.96
  6. Step 6: Final answer
    x = 743.39

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.