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Finding the Fourth Proportional to 1,088.57, 1,632.49 and 395.08

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Solution

The fourth proportional to 1,088.57, 1,632.49 and 395.08 is: 592.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.57 : 1,632.49 = 395.08 : x
  2. Step 2: Convert to fraction form
    1,088.57/1,632.49 = 395.08/x
  3. Step 3: Cross multiply
    1,088.57x = 1,632.49 × 395.08
  4. Step 4: Simplify right side
    1,088.57x = 644,959.08
  5. Step 5: Solve for x
    x = 644,959.08/1,088.57
  6. Step 6: Final answer
    x = 592.48

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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.