Home / 1,563.13-2,345.10-589.51

Finding the Fourth Proportional to 1,563.13, 2,345.10 and 589.51

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Solution

The fourth proportional to 1,563.13, 2,345.10 and 589.51 is: 884.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.13 : 2,345.10 = 589.51 : x
  2. Step 2: Convert to fraction form
    1,563.13/2,345.10 = 589.51/x
  3. Step 3: Cross multiply
    1,563.13x = 2,345.10 × 589.51
  4. Step 4: Simplify right side
    1,563.13x = 1,382,459.90
  5. Step 5: Solve for x
    x = 1,382,459.90/1,563.13
  6. Step 6: Final answer
    x = 884.42

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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.