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Finding the Fourth Proportional to 795.62, 1,188.82 and 609.50

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Solution

The fourth proportional to 795.62, 1,188.82 and 609.50 is: 910.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    795.62 : 1,188.82 = 609.50 : x
  2. Step 2: Convert to fraction form
    795.62/1,188.82 = 609.50/x
  3. Step 3: Cross multiply
    795.62x = 1,188.82 × 609.50
  4. Step 4: Simplify right side
    795.62x = 724,585.79
  5. Step 5: Solve for x
    x = 724,585.79/795.62
  6. Step 6: Final answer
    x = 910.72

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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.