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Finding the Fourth Proportional to 786.85, 1,177.54 and 490.25

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Solution

The fourth proportional to 786.85, 1,177.54 and 490.25 is: 733.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.85 : 1,177.54 = 490.25 : x
  2. Step 2: Convert to fraction form
    786.85/1,177.54 = 490.25/x
  3. Step 3: Cross multiply
    786.85x = 1,177.54 × 490.25
  4. Step 4: Simplify right side
    786.85x = 577,290.70
  5. Step 5: Solve for x
    x = 577,290.70/786.85
  6. Step 6: Final answer
    x = 733.68

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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.