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Finding the Fourth Proportional to 788.84, 1,089.06 and 578.84

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Solution

The fourth proportional to 788.84, 1,089.06 and 578.84 is: 799.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.84 : 1,089.06 = 578.84 : x
  2. Step 2: Convert to fraction form
    788.84/1,089.06 = 578.84/x
  3. Step 3: Cross multiply
    788.84x = 1,089.06 × 578.84
  4. Step 4: Simplify right side
    788.84x = 630,391.49
  5. Step 5: Solve for x
    x = 630,391.49/788.84
  6. Step 6: Final answer
    x = 799.14

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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.