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Finding the Fourth Proportional to 567.18, 782.73 and 442.80

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Solution

The fourth proportional to 567.18, 782.73 and 442.80 is: 611.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.18 : 782.73 = 442.80 : x
  2. Step 2: Convert to fraction form
    567.18/782.73 = 442.80/x
  3. Step 3: Cross multiply
    567.18x = 782.73 × 442.80
  4. Step 4: Simplify right side
    567.18x = 346,592.84
  5. Step 5: Solve for x
    x = 346,592.84/567.18
  6. Step 6: Final answer
    x = 611.08

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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.