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Finding the Fourth Proportional to 567.50, 782.83 and 402.46

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Solution

The fourth proportional to 567.50, 782.83 and 402.46 is: 555.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.50 : 782.83 = 402.46 : x
  2. Step 2: Convert to fraction form
    567.50/782.83 = 402.46/x
  3. Step 3: Cross multiply
    567.50x = 782.83 × 402.46
  4. Step 4: Simplify right side
    567.50x = 315,057.76
  5. Step 5: Solve for x
    x = 315,057.76/567.50
  6. Step 6: Final answer
    x = 555.17

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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.