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Finding the Fourth Proportional to 786.68, 1,177.06 and 490.24

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Solution

The fourth proportional to 786.68, 1,177.06 and 490.24 is: 733.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.68 : 1,177.06 = 490.24 : x
  2. Step 2: Convert to fraction form
    786.68/1,177.06 = 490.24/x
  3. Step 3: Cross multiply
    786.68x = 1,177.06 × 490.24
  4. Step 4: Simplify right side
    786.68x = 577,041.89
  5. Step 5: Solve for x
    x = 577,041.89/786.68
  6. Step 6: Final answer
    x = 733.52

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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.