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Finding the Fourth Proportional to 2,411.76, 3,617.64 and 680.16

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Solution

The fourth proportional to 2,411.76, 3,617.64 and 680.16 is: 1,020.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,411.76 : 3,617.64 = 680.16 : x
  2. Step 2: Convert to fraction form
    2,411.76/3,617.64 = 680.16/x
  3. Step 3: Cross multiply
    2,411.76x = 3,617.64 × 680.16
  4. Step 4: Simplify right side
    2,411.76x = 2,460,574.02
  5. Step 5: Solve for x
    x = 2,460,574.02/2,411.76
  6. Step 6: Final answer
    x = 1,020.24

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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.