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Finding the Fourth Proportional to 784.87, 1,177.63 and 438.45

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Solution

The fourth proportional to 784.87, 1,177.63 and 438.45 is: 657.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.87 : 1,177.63 = 438.45 : x
  2. Step 2: Convert to fraction form
    784.87/1,177.63 = 438.45/x
  3. Step 3: Cross multiply
    784.87x = 1,177.63 × 438.45
  4. Step 4: Simplify right side
    784.87x = 516,326.36
  5. Step 5: Solve for x
    x = 516,326.36/784.87
  6. Step 6: Final answer
    x = 657.85

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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.