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Finding the Fourth Proportional to 792.50, 1,090.94 and 652.37

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Solution

The fourth proportional to 792.50, 1,090.94 and 652.37 is: 898.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    792.50 : 1,090.94 = 652.37 : x
  2. Step 2: Convert to fraction form
    792.50/1,090.94 = 652.37/x
  3. Step 3: Cross multiply
    792.50x = 1,090.94 × 652.37
  4. Step 4: Simplify right side
    792.50x = 711,687.81
  5. Step 5: Solve for x
    x = 711,687.81/792.50
  6. Step 6: Final answer
    x = 898.03

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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.