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Finding the Fourth Proportional to 567.93, 783.21 and 411.60

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Solution

The fourth proportional to 567.93, 783.21 and 411.60 is: 567.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.93 : 783.21 = 411.60 : x
  2. Step 2: Convert to fraction form
    567.93/783.21 = 411.60/x
  3. Step 3: Cross multiply
    567.93x = 783.21 × 411.60
  4. Step 4: Simplify right side
    567.93x = 322,369.24
  5. Step 5: Solve for x
    x = 322,369.24/567.93
  6. Step 6: Final answer
    x = 567.62

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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.