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Finding the Fourth Proportional to 783.94, 1,177.06 and 437.95

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Solution

The fourth proportional to 783.94, 1,177.06 and 437.95 is: 657.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.94 : 1,177.06 = 437.95 : x
  2. Step 2: Convert to fraction form
    783.94/1,177.06 = 437.95/x
  3. Step 3: Cross multiply
    783.94x = 1,177.06 × 437.95
  4. Step 4: Simplify right side
    783.94x = 515,493.43
  5. Step 5: Solve for x
    x = 515,493.43/783.94
  6. Step 6: Final answer
    x = 657.57

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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.