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Finding the Fourth Proportional to 2,320.54, 3,480.81 and 589.12

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Solution

The fourth proportional to 2,320.54, 3,480.81 and 589.12 is: 883.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,320.54 : 3,480.81 = 589.12 : x
  2. Step 2: Convert to fraction form
    2,320.54/3,480.81 = 589.12/x
  3. Step 3: Cross multiply
    2,320.54x = 3,480.81 × 589.12
  4. Step 4: Simplify right side
    2,320.54x = 2,050,614.79
  5. Step 5: Solve for x
    x = 2,050,614.79/2,320.54
  6. Step 6: Final answer
    x = 883.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.