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Finding the Fourth Proportional to 660.94, 989.96 and 545.12

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Solution

The fourth proportional to 660.94, 989.96 and 545.12 is: 816.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.94 : 989.96 = 545.12 : x
  2. Step 2: Convert to fraction form
    660.94/989.96 = 545.12/x
  3. Step 3: Cross multiply
    660.94x = 989.96 × 545.12
  4. Step 4: Simplify right side
    660.94x = 539,647.00
  5. Step 5: Solve for x
    x = 539,647.00/660.94
  6. Step 6: Final answer
    x = 816.48

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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.