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Finding the Fourth Proportional to 788.18, 1,087.20 and 522.63

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Solution

The fourth proportional to 788.18, 1,087.20 and 522.63 is: 720.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.18 : 1,087.20 = 522.63 : x
  2. Step 2: Convert to fraction form
    788.18/1,087.20 = 522.63/x
  3. Step 3: Cross multiply
    788.18x = 1,087.20 × 522.63
  4. Step 4: Simplify right side
    788.18x = 568,203.34
  5. Step 5: Solve for x
    x = 568,203.34/788.18
  6. Step 6: Final answer
    x = 720.91

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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.