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Finding the Fourth Proportional to 788.88, 1,089.69 and 601.23

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Solution

The fourth proportional to 788.88, 1,089.69 and 601.23 is: 830.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.88 : 1,089.69 = 601.23 : x
  2. Step 2: Convert to fraction form
    788.88/1,089.69 = 601.23/x
  3. Step 3: Cross multiply
    788.88x = 1,089.69 × 601.23
  4. Step 4: Simplify right side
    788.88x = 655,154.32
  5. Step 5: Solve for x
    x = 655,154.32/788.88
  6. Step 6: Final answer
    x = 830.49

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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.