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Finding the Fourth Proportional to 1,563.38, 2,345.78 and 589.40

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Solution

The fourth proportional to 1,563.38, 2,345.78 and 589.40 is: 884.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.38 : 2,345.78 = 589.40 : x
  2. Step 2: Convert to fraction form
    1,563.38/2,345.78 = 589.40/x
  3. Step 3: Cross multiply
    1,563.38x = 2,345.78 × 589.40
  4. Step 4: Simplify right side
    1,563.38x = 1,382,592.48
  5. Step 5: Solve for x
    x = 1,382,592.48/1,563.38
  6. Step 6: Final answer
    x = 884.36

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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.