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Finding the Fourth Proportional to 1,088.52, 1,632.78 and 703.50

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Solution

The fourth proportional to 1,088.52, 1,632.78 and 703.50 is: 1,055.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.52 : 1,632.78 = 703.50 : x
  2. Step 2: Convert to fraction form
    1,088.52/1,632.78 = 703.50/x
  3. Step 3: Cross multiply
    1,088.52x = 1,632.78 × 703.50
  4. Step 4: Simplify right side
    1,088.52x = 1,148,660.73
  5. Step 5: Solve for x
    x = 1,148,660.73/1,088.52
  6. Step 6: Final answer
    x = 1,055.25

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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.