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Finding the Fourth Proportional to 788.28, 1,088.06 and 489.68

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Solution

The fourth proportional to 788.28, 1,088.06 and 489.68 is: 675.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.28 : 1,088.06 = 489.68 : x
  2. Step 2: Convert to fraction form
    788.28/1,088.06 = 489.68/x
  3. Step 3: Cross multiply
    788.28x = 1,088.06 × 489.68
  4. Step 4: Simplify right side
    788.28x = 532,801.22
  5. Step 5: Solve for x
    x = 532,801.22/788.28
  6. Step 6: Final answer
    x = 675.90

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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.