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Finding the Fourth Proportional to 567.24, 782.36 and 425.28

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Solution

The fourth proportional to 567.24, 782.36 and 425.28 is: 586.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.24 : 782.36 = 425.28 : x
  2. Step 2: Convert to fraction form
    567.24/782.36 = 425.28/x
  3. Step 3: Cross multiply
    567.24x = 782.36 × 425.28
  4. Step 4: Simplify right side
    567.24x = 332,722.06
  5. Step 5: Solve for x
    x = 332,722.06/567.24
  6. Step 6: Final answer
    x = 586.56

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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.