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Finding the Fourth Proportional to 700.78, 968.42 and 582.64

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Solution

The fourth proportional to 700.78, 968.42 and 582.64 is: 805.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    700.78 : 968.42 = 582.64 : x
  2. Step 2: Convert to fraction form
    700.78/968.42 = 582.64/x
  3. Step 3: Cross multiply
    700.78x = 968.42 × 582.64
  4. Step 4: Simplify right side
    700.78x = 564,240.23
  5. Step 5: Solve for x
    x = 564,240.23/700.78
  6. Step 6: Final answer
    x = 805.16

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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.