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Finding the Fourth Proportional to 785.50, 1,177.54 and 438.41

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Solution

The fourth proportional to 785.50, 1,177.54 and 438.41 is: 657.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    785.50 : 1,177.54 = 438.41 : x
  2. Step 2: Convert to fraction form
    785.50/1,177.54 = 438.41/x
  3. Step 3: Cross multiply
    785.50x = 1,177.54 × 438.41
  4. Step 4: Simplify right side
    785.50x = 516,247.16
  5. Step 5: Solve for x
    x = 516,247.16/785.50
  6. Step 6: Final answer
    x = 657.22

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1.5x scale

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.