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Finding the Fourth Proportional to 788.65, 1,088.35 and 494.09

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Solution

The fourth proportional to 788.65, 1,088.35 and 494.09 is: 681.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.65 : 1,088.35 = 494.09 : x
  2. Step 2: Convert to fraction form
    788.65/1,088.35 = 494.09/x
  3. Step 3: Cross multiply
    788.65x = 1,088.35 × 494.09
  4. Step 4: Simplify right side
    788.65x = 537,744.34
  5. Step 5: Solve for x
    x = 537,744.34/788.65
  6. Step 6: Final answer
    x = 681.85

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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.