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Finding the Fourth Proportional to 1,088.47, 1,624.09 and 984.79

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Solution

The fourth proportional to 1,088.47, 1,624.09 and 984.79 is: 1,469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,088.47 : 1,624.09 = 984.79 : x
  2. Step 2: Convert to fraction form
    1,088.47/1,624.09 = 984.79/x
  3. Step 3: Cross multiply
    1,088.47x = 1,624.09 × 984.79
  4. Step 4: Simplify right side
    1,088.47x = 1,599,387.59
  5. Step 5: Solve for x
    x = 1,599,387.59/1,088.47
  6. Step 6: Final answer
    x = 1,469.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.