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Finding the Fourth Proportional to 700.46, 965.58 and 552.80

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Solution

The fourth proportional to 700.46, 965.58 and 552.80 is: 762.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.46 : 965.58 = 552.80 : x
  2. Step 2: Convert to fraction form
    700.46/965.58 = 552.80/x
  3. Step 3: Cross multiply
    700.46x = 965.58 × 552.80
  4. Step 4: Simplify right side
    700.46x = 533,772.62
  5. Step 5: Solve for x
    x = 533,772.62/700.46
  6. Step 6: Final answer
    x = 762.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.