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Finding the Fourth Proportional to 1,563.91, 2,345.15 and 741.96

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Solution

The fourth proportional to 1,563.91, 2,345.15 and 741.96 is: 1,112.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,563.91 : 2,345.15 = 741.96 : x
  2. Step 2: Convert to fraction form
    1,563.91/2,345.15 = 741.96/x
  3. Step 3: Cross multiply
    1,563.91x = 2,345.15 × 741.96
  4. Step 4: Simplify right side
    1,563.91x = 1,740,009.35
  5. Step 5: Solve for x
    x = 1,740,009.35/1,563.91
  6. Step 6: Final answer
    x = 1,112.60

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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.