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Finding the Fourth Proportional to 567.57, 782.70 and 368.14

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Solution

The fourth proportional to 567.57, 782.70 and 368.14 is: 507.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.57 : 782.70 = 368.14 : x
  2. Step 2: Convert to fraction form
    567.57/782.70 = 368.14/x
  3. Step 3: Cross multiply
    567.57x = 782.70 × 368.14
  4. Step 4: Simplify right side
    567.57x = 288,143.18
  5. Step 5: Solve for x
    x = 288,143.18/567.57
  6. Step 6: Final answer
    x = 507.68

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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.