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Finding the Fourth Proportional to 718.60, 1,072.79 and 609.22

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Solution

The fourth proportional to 718.60, 1,072.79 and 609.22 is: 909.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.60 : 1,072.79 = 609.22 : x
  2. Step 2: Convert to fraction form
    718.60/1,072.79 = 609.22/x
  3. Step 3: Cross multiply
    718.60x = 1,072.79 × 609.22
  4. Step 4: Simplify right side
    718.60x = 653,565.12
  5. Step 5: Solve for x
    x = 653,565.12/718.60
  6. Step 6: Final answer
    x = 909.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.