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Finding the Fourth Proportional to 734.89, 1,015.19 and 513.76

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Solution

The fourth proportional to 734.89, 1,015.19 and 513.76 is: 709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.89 : 1,015.19 = 513.76 : x
  2. Step 2: Convert to fraction form
    734.89/1,015.19 = 513.76/x
  3. Step 3: Cross multiply
    734.89x = 1,015.19 × 513.76
  4. Step 4: Simplify right side
    734.89x = 521,564.01
  5. Step 5: Solve for x
    x = 521,564.01/734.89
  6. Step 6: Final answer
    x = 709.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.