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Finding the Fourth Proportional to 988.51, 1,364.10 and 546.46

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Solution

The fourth proportional to 988.51, 1,364.10 and 546.46 is: 754.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    988.51 : 1,364.10 = 546.46 : x
  2. Step 2: Convert to fraction form
    988.51/1,364.10 = 546.46/x
  3. Step 3: Cross multiply
    988.51x = 1,364.10 × 546.46
  4. Step 4: Simplify right side
    988.51x = 745,426.09
  5. Step 5: Solve for x
    x = 745,426.09/988.51
  6. Step 6: Final answer
    x = 754.09

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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.