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Finding the Fourth Proportional to 701.02, 965.62 and 582.78

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Solution

The fourth proportional to 701.02, 965.62 and 582.78 is: 802.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    701.02 : 965.62 = 582.78 : x
  2. Step 2: Convert to fraction form
    701.02/965.62 = 582.78/x
  3. Step 3: Cross multiply
    701.02x = 965.62 × 582.78
  4. Step 4: Simplify right side
    701.02x = 562,744.02
  5. Step 5: Solve for x
    x = 562,744.02/701.02
  6. Step 6: Final answer
    x = 802.75

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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.