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Finding the Fourth Proportional to 990.64, 1,367.12 and 571.13

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Solution

The fourth proportional to 990.64, 1,367.12 and 571.13 is: 788.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    990.64 : 1,367.12 = 571.13 : x
  2. Step 2: Convert to fraction form
    990.64/1,367.12 = 571.13/x
  3. Step 3: Cross multiply
    990.64x = 1,367.12 × 571.13
  4. Step 4: Simplify right side
    990.64x = 780,803.25
  5. Step 5: Solve for x
    x = 780,803.25/990.64
  6. Step 6: Final answer
    x = 788.18

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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.