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Finding the Fourth Proportional to 789.16, 1,181.58 and 652.60

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Solution

The fourth proportional to 789.16, 1,181.58 and 652.60 is: 977.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    789.16 : 1,181.58 = 652.60 : x
  2. Step 2: Convert to fraction form
    789.16/1,181.58 = 652.60/x
  3. Step 3: Cross multiply
    789.16x = 1,181.58 × 652.60
  4. Step 4: Simplify right side
    789.16x = 771,099.11
  5. Step 5: Solve for x
    x = 771,099.11/789.16
  6. Step 6: Final answer
    x = 977.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.