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Finding the Fourth Proportional to 867.72, 1,197.33 and 513.51

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Solution

The fourth proportional to 867.72, 1,197.33 and 513.51 is: 708.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    867.72 : 1,197.33 = 513.51 : x
  2. Step 2: Convert to fraction form
    867.72/1,197.33 = 513.51/x
  3. Step 3: Cross multiply
    867.72x = 1,197.33 × 513.51
  4. Step 4: Simplify right side
    867.72x = 614,840.93
  5. Step 5: Solve for x
    x = 614,840.93/867.72
  6. Step 6: Final answer
    x = 708.57

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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.