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Finding the Fourth Proportional to 1,007.77, 1,391.01 and 588.22

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Solution

The fourth proportional to 1,007.77, 1,391.01 and 588.22 is: 811.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,007.77 : 1,391.01 = 588.22 : x
  2. Step 2: Convert to fraction form
    1,007.77/1,391.01 = 588.22/x
  3. Step 3: Cross multiply
    1,007.77x = 1,391.01 × 588.22
  4. Step 4: Simplify right side
    1,007.77x = 818,219.90
  5. Step 5: Solve for x
    x = 818,219.90/1,007.77
  6. Step 6: Final answer
    x = 811.91

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.