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Finding the Fourth Proportional to 788.08, 1,089.02 and 601.40

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Solution

The fourth proportional to 788.08, 1,089.02 and 601.40 is: 831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    788.08 : 1,089.02 = 601.40 : x
  2. Step 2: Convert to fraction form
    788.08/1,089.02 = 601.40/x
  3. Step 3: Cross multiply
    788.08x = 1,089.02 × 601.40
  4. Step 4: Simplify right side
    788.08x = 654,936.63
  5. Step 5: Solve for x
    x = 654,936.63/788.08
  6. Step 6: Final answer
    x = 831.05

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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.