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Finding the Fourth Proportional to 784.77, 1,177.31 and 438.31

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Solution

The fourth proportional to 784.77, 1,177.31 and 438.31 is: 657.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    784.77 : 1,177.31 = 438.31 : x
  2. Step 2: Convert to fraction form
    784.77/1,177.31 = 438.31/x
  3. Step 3: Cross multiply
    784.77x = 1,177.31 × 438.31
  4. Step 4: Simplify right side
    784.77x = 516,026.75
  5. Step 5: Solve for x
    x = 516,026.75/784.77
  6. Step 6: Final answer
    x = 657.55

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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.