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Finding the Fourth Proportional to 734.72, 1,015.15 and 577.68

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Solution

The fourth proportional to 734.72, 1,015.15 and 577.68 is: 798.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,015.15 = 577.68 : x
  2. Step 2: Convert to fraction form
    734.72/1,015.15 = 577.68/x
  3. Step 3: Cross multiply
    734.72x = 1,015.15 × 577.68
  4. Step 4: Simplify right side
    734.72x = 586,433.39
  5. Step 5: Solve for x
    x = 586,433.39/734.72
  6. Step 6: Final answer
    x = 798.17

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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.