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Finding the Fourth Proportional to 1,005.87, 1,389.11 and 691.93

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Solution

The fourth proportional to 1,005.87, 1,389.11 and 691.93 is: 955.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.87 : 1,389.11 = 691.93 : x
  2. Step 2: Convert to fraction form
    1,005.87/1,389.11 = 691.93/x
  3. Step 3: Cross multiply
    1,005.87x = 1,389.11 × 691.93
  4. Step 4: Simplify right side
    1,005.87x = 961,166.88
  5. Step 5: Solve for x
    x = 961,166.88/1,005.87
  6. Step 6: Final answer
    x = 955.56

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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.