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Finding the Fourth Proportional to 1,088.10, 1,632.16 and 828.64

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Solution

The fourth proportional to 1,088.10, 1,632.16 and 828.64 is: 1,242.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.10 : 1,632.16 = 828.64 : x
  2. Step 2: Convert to fraction form
    1,088.10/1,632.16 = 828.64/x
  3. Step 3: Cross multiply
    1,088.10x = 1,632.16 × 828.64
  4. Step 4: Simplify right side
    1,088.10x = 1,352,473.06
  5. Step 5: Solve for x
    x = 1,352,473.06/1,088.10
  6. Step 6: Final answer
    x = 1,242.97

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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.