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Finding the Fourth Proportional to 988.60, 1,364.22 and 546.50

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Solution

The fourth proportional to 988.60, 1,364.22 and 546.50 is: 754.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.60 : 1,364.22 = 546.50 : x
  2. Step 2: Convert to fraction form
    988.60/1,364.22 = 546.50/x
  3. Step 3: Cross multiply
    988.60x = 1,364.22 × 546.50
  4. Step 4: Simplify right side
    988.60x = 745,546.23
  5. Step 5: Solve for x
    x = 745,546.23/988.60
  6. Step 6: Final answer
    x = 754.14

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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.