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Finding the Fourth Proportional to 1,011.77, 1,396.89 and 732.93

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Solution

The fourth proportional to 1,011.77, 1,396.89 and 732.93 is: 1,011.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,011.77 : 1,396.89 = 732.93 : x
  2. Step 2: Convert to fraction form
    1,011.77/1,396.89 = 732.93/x
  3. Step 3: Cross multiply
    1,011.77x = 1,396.89 × 732.93
  4. Step 4: Simplify right side
    1,011.77x = 1,023,822.59
  5. Step 5: Solve for x
    x = 1,023,822.59/1,011.77
  6. Step 6: Final answer
    x = 1,011.91

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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.