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Finding the Fourth Proportional to 567.21, 781.95 and 467.70

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Solution

The fourth proportional to 567.21, 781.95 and 467.70 is: 644.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.21 : 781.95 = 467.70 : x
  2. Step 2: Convert to fraction form
    567.21/781.95 = 467.70/x
  3. Step 3: Cross multiply
    567.21x = 781.95 × 467.70
  4. Step 4: Simplify right side
    567.21x = 365,718.02
  5. Step 5: Solve for x
    x = 365,718.02/567.21
  6. Step 6: Final answer
    x = 644.77

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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.