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Finding the Fourth Proportional to 567.07, 778.40 and 523.33

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Solution

The fourth proportional to 567.07, 778.40 and 523.33 is: 718.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.07 : 778.40 = 523.33 : x
  2. Step 2: Convert to fraction form
    567.07/778.40 = 523.33/x
  3. Step 3: Cross multiply
    567.07x = 778.40 × 523.33
  4. Step 4: Simplify right side
    567.07x = 407,360.07
  5. Step 5: Solve for x
    x = 407,360.07/567.07
  6. Step 6: Final answer
    x = 718.36

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.