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Finding the Fourth Proportional to 667.57, 922.58 and 570.37

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Solution

The fourth proportional to 667.57, 922.58 and 570.37 is: 788.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    667.57 : 922.58 = 570.37 : x
  2. Step 2: Convert to fraction form
    667.57/922.58 = 570.37/x
  3. Step 3: Cross multiply
    667.57x = 922.58 × 570.37
  4. Step 4: Simplify right side
    667.57x = 526,211.95
  5. Step 5: Solve for x
    x = 526,211.95/667.57
  6. Step 6: Final answer
    x = 788.25

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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.