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Finding the Fourth Proportional to 1,010.77, 1,388.93 and 823.87

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Solution

The fourth proportional to 1,010.77, 1,388.93 and 823.87 is: 1,132.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,010.77 : 1,388.93 = 823.87 : x
  2. Step 2: Convert to fraction form
    1,010.77/1,388.93 = 823.87/x
  3. Step 3: Cross multiply
    1,010.77x = 1,388.93 × 823.87
  4. Step 4: Simplify right side
    1,010.77x = 1,144,297.76
  5. Step 5: Solve for x
    x = 1,144,297.76/1,010.77
  6. Step 6: Final answer
    x = 1,132.10

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.