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Finding the Fourth Proportional to 988.72, 1,364.43 and 546.61

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Solution

The fourth proportional to 988.72, 1,364.43 and 546.61 is: 754.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.72 : 1,364.43 = 546.61 : x
  2. Step 2: Convert to fraction form
    988.72/1,364.43 = 546.61/x
  3. Step 3: Cross multiply
    988.72x = 1,364.43 × 546.61
  4. Step 4: Simplify right side
    988.72x = 745,811.08
  5. Step 5: Solve for x
    x = 745,811.08/988.72
  6. Step 6: Final answer
    x = 754.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.