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Finding the Fourth Proportional to 1,332.39, 1,838.53 and 772.85

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Solution

The fourth proportional to 1,332.39, 1,838.53 and 772.85 is: 1,066.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,332.39 : 1,838.53 = 772.85 : x
  2. Step 2: Convert to fraction form
    1,332.39/1,838.53 = 772.85/x
  3. Step 3: Cross multiply
    1,332.39x = 1,838.53 × 772.85
  4. Step 4: Simplify right side
    1,332.39x = 1,420,907.91
  5. Step 5: Solve for x
    x = 1,420,907.91/1,332.39
  6. Step 6: Final answer
    x = 1,066.44

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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.