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Finding the Fourth Proportional to 610.24, 914.64 and 513.76

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Solution

The fourth proportional to 610.24, 914.64 and 513.76 is: 770.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    610.24 : 914.64 = 513.76 : x
  2. Step 2: Convert to fraction form
    610.24/914.64 = 513.76/x
  3. Step 3: Cross multiply
    610.24x = 914.64 × 513.76
  4. Step 4: Simplify right side
    610.24x = 469,905.45
  5. Step 5: Solve for x
    x = 469,905.45/610.24
  6. Step 6: Final answer
    x = 770.03

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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.