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Finding the Fourth Proportional to 734.81, 1,015.34 and 588.60

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Solution

The fourth proportional to 734.81, 1,015.34 and 588.60 is: 813.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.81 : 1,015.34 = 588.60 : x
  2. Step 2: Convert to fraction form
    734.81/1,015.34 = 588.60/x
  3. Step 3: Cross multiply
    734.81x = 1,015.34 × 588.60
  4. Step 4: Simplify right side
    734.81x = 597,626.18
  5. Step 5: Solve for x
    x = 597,626.18/734.81
  6. Step 6: Final answer
    x = 813.31

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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.