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Finding the Fourth Proportional to 667.32, 922.23 and 570.12

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Solution

The fourth proportional to 667.32, 922.23 and 570.12 is: 787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.32 : 922.23 = 570.12 : x
  2. Step 2: Convert to fraction form
    667.32/922.23 = 570.12/x
  3. Step 3: Cross multiply
    667.32x = 922.23 × 570.12
  4. Step 4: Simplify right side
    667.32x = 525,781.77
  5. Step 5: Solve for x
    x = 525,781.77/667.32
  6. Step 6: Final answer
    x = 787.90

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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.