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Finding the Fourth Proportional to 788.65, 1,087.81 and 493.40

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Solution

The fourth proportional to 788.65, 1,087.81 and 493.40 is: 680.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.65 : 1,087.81 = 493.40 : x
  2. Step 2: Convert to fraction form
    788.65/1,087.81 = 493.40/x
  3. Step 3: Cross multiply
    788.65x = 1,087.81 × 493.40
  4. Step 4: Simplify right side
    788.65x = 536,726.94
  5. Step 5: Solve for x
    x = 536,726.94/788.65
  6. Step 6: Final answer
    x = 680.57

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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.