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Finding the Fourth Proportional to 732.10, 1,009.83 and 421.60

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Solution

The fourth proportional to 732.10, 1,009.83 and 421.60 is: 581.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    732.10 : 1,009.83 = 421.60 : x
  2. Step 2: Convert to fraction form
    732.10/1,009.83 = 421.60/x
  3. Step 3: Cross multiply
    732.10x = 1,009.83 × 421.60
  4. Step 4: Simplify right side
    732.10x = 425,744.33
  5. Step 5: Solve for x
    x = 425,744.33/732.10
  6. Step 6: Final answer
    x = 581.54

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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.