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Finding the Fourth Proportional to 645.56, 888.93 and 578.13

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Solution

The fourth proportional to 645.56, 888.93 and 578.13 is: 796.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    645.56 : 888.93 = 578.13 : x
  2. Step 2: Convert to fraction form
    645.56/888.93 = 578.13/x
  3. Step 3: Cross multiply
    645.56x = 888.93 × 578.13
  4. Step 4: Simplify right side
    645.56x = 513,917.10
  5. Step 5: Solve for x
    x = 513,917.10/645.56
  6. Step 6: Final answer
    x = 796.08

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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.