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Finding the Fourth Proportional to 789.10, 1,089.12 and 602.32

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Solution

The fourth proportional to 789.10, 1,089.12 and 602.32 is: 831.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.10 : 1,089.12 = 602.32 : x
  2. Step 2: Convert to fraction form
    789.10/1,089.12 = 602.32/x
  3. Step 3: Cross multiply
    789.10x = 1,089.12 × 602.32
  4. Step 4: Simplify right side
    789.10x = 655,998.76
  5. Step 5: Solve for x
    x = 655,998.76/789.10
  6. Step 6: Final answer
    x = 831.33

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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.