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Finding the Fourth Proportional to 567.36, 782.04 and 401.31

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Solution

The fourth proportional to 567.36, 782.04 and 401.31 is: 553.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.36 : 782.04 = 401.31 : x
  2. Step 2: Convert to fraction form
    567.36/782.04 = 401.31/x
  3. Step 3: Cross multiply
    567.36x = 782.04 × 401.31
  4. Step 4: Simplify right side
    567.36x = 313,840.47
  5. Step 5: Solve for x
    x = 313,840.47/567.36
  6. Step 6: Final answer
    x = 553.16

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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.