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Finding the Fourth Proportional to 1,364.07, 2,046.93 and 542.41

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Solution

The fourth proportional to 1,364.07, 2,046.93 and 542.41 is: 813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,364.07 : 2,046.93 = 542.41 : x
  2. Step 2: Convert to fraction form
    1,364.07/2,046.93 = 542.41/x
  3. Step 3: Cross multiply
    1,364.07x = 2,046.93 × 542.41
  4. Step 4: Simplify right side
    1,364.07x = 1,110,274.84
  5. Step 5: Solve for x
    x = 1,110,274.84/1,364.07
  6. Step 6: Final answer
    x = 813.95

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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.