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Finding the Fourth Proportional to 734.13, 1,011.47 and 715.86

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Solution

The fourth proportional to 734.13, 1,011.47 and 715.86 is: 986.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.13 : 1,011.47 = 715.86 : x
  2. Step 2: Convert to fraction form
    734.13/1,011.47 = 715.86/x
  3. Step 3: Cross multiply
    734.13x = 1,011.47 × 715.86
  4. Step 4: Simplify right side
    734.13x = 724,067.33
  5. Step 5: Solve for x
    x = 724,067.33/734.13
  6. Step 6: Final answer
    x = 986.29

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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.