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Finding the Fourth Proportional to 1,133.58, 1,701.27 and 613.95

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Solution

The fourth proportional to 1,133.58, 1,701.27 and 613.95 is: 921.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,133.58 : 1,701.27 = 613.95 : x
  2. Step 2: Convert to fraction form
    1,133.58/1,701.27 = 613.95/x
  3. Step 3: Cross multiply
    1,133.58x = 1,701.27 × 613.95
  4. Step 4: Simplify right side
    1,133.58x = 1,044,494.72
  5. Step 5: Solve for x
    x = 1,044,494.72/1,133.58
  6. Step 6: Final answer
    x = 921.41

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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.