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Finding the Fourth Proportional to 709.64, 976.22 and 578.36

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Solution

The fourth proportional to 709.64, 976.22 and 578.36 is: 795.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    709.64 : 976.22 = 578.36 : x
  2. Step 2: Convert to fraction form
    709.64/976.22 = 578.36/x
  3. Step 3: Cross multiply
    709.64x = 976.22 × 578.36
  4. Step 4: Simplify right side
    709.64x = 564,606.60
  5. Step 5: Solve for x
    x = 564,606.60/709.64
  6. Step 6: Final answer
    x = 795.62

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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.