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Finding the Fourth Proportional to 567.56, 782.40 and 492.40

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Solution

The fourth proportional to 567.56, 782.40 and 492.40 is: 678.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.56 : 782.40 = 492.40 : x
  2. Step 2: Convert to fraction form
    567.56/782.40 = 492.40/x
  3. Step 3: Cross multiply
    567.56x = 782.40 × 492.40
  4. Step 4: Simplify right side
    567.56x = 385,253.76
  5. Step 5: Solve for x
    x = 385,253.76/567.56
  6. Step 6: Final answer
    x = 678.79

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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.