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Finding the Fourth Proportional to 567.35, 782.21 and 462.32

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Solution

The fourth proportional to 567.35, 782.21 and 462.32 is: 637.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    567.35 : 782.21 = 462.32 : x
  2. Step 2: Convert to fraction form
    567.35/782.21 = 462.32/x
  3. Step 3: Cross multiply
    567.35x = 782.21 × 462.32
  4. Step 4: Simplify right side
    567.35x = 361,628.57
  5. Step 5: Solve for x
    x = 361,628.57/567.35
  6. Step 6: Final answer
    x = 637.41

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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.