Home / 1,563.16-2,345.10-589.18

Finding the Fourth Proportional to 1,563.16, 2,345.10 and 589.18

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Solution

The fourth proportional to 1,563.16, 2,345.10 and 589.18 is: 883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.16 : 2,345.10 = 589.18 : x
  2. Step 2: Convert to fraction form
    1,563.16/2,345.10 = 589.18/x
  3. Step 3: Cross multiply
    1,563.16x = 2,345.10 × 589.18
  4. Step 4: Simplify right side
    1,563.16x = 1,381,686.02
  5. Step 5: Solve for x
    x = 1,381,686.02/1,563.16
  6. Step 6: Final answer
    x = 883.91

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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.