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Finding the Fourth Proportional to 790.30, 1,186.80 and 517.60

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Solution

The fourth proportional to 790.30, 1,186.80 and 517.60 is: 777.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    790.30 : 1,186.80 = 517.60 : x
  2. Step 2: Convert to fraction form
    790.30/1,186.80 = 517.60/x
  3. Step 3: Cross multiply
    790.30x = 1,186.80 × 517.60
  4. Step 4: Simplify right side
    790.30x = 614,287.68
  5. Step 5: Solve for x
    x = 614,287.68/790.30
  6. Step 6: Final answer
    x = 777.28

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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.