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Finding the Fourth Proportional to 700.06, 1,048.32 and 517.60

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Solution

The fourth proportional to 700.06, 1,048.32 and 517.60 is: 775.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.06 : 1,048.32 = 517.60 : x
  2. Step 2: Convert to fraction form
    700.06/1,048.32 = 517.60/x
  3. Step 3: Cross multiply
    700.06x = 1,048.32 × 517.60
  4. Step 4: Simplify right side
    700.06x = 542,610.43
  5. Step 5: Solve for x
    x = 542,610.43/700.06
  6. Step 6: Final answer
    x = 775.09

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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.