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Finding the Fourth Proportional to 567.54, 782.40 and 401.26

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Solution

The fourth proportional to 567.54, 782.40 and 401.26 is: 553.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.54 : 782.40 = 401.26 : x
  2. Step 2: Convert to fraction form
    567.54/782.40 = 401.26/x
  3. Step 3: Cross multiply
    567.54x = 782.40 × 401.26
  4. Step 4: Simplify right side
    567.54x = 313,945.82
  5. Step 5: Solve for x
    x = 313,945.82/567.54
  6. Step 6: Final answer
    x = 553.17

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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.