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Finding the Fourth Proportional to 788.05, 1,086.89 and 508.31

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Solution

The fourth proportional to 788.05, 1,086.89 and 508.31 is: 701.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.05 : 1,086.89 = 508.31 : x
  2. Step 2: Convert to fraction form
    788.05/1,086.89 = 508.31/x
  3. Step 3: Cross multiply
    788.05x = 1,086.89 × 508.31
  4. Step 4: Simplify right side
    788.05x = 552,473.16
  5. Step 5: Solve for x
    x = 552,473.16/788.05
  6. Step 6: Final answer
    x = 701.07

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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.