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Finding the Fourth Proportional to 761.09, 1,049.83 and 462.20

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Solution

The fourth proportional to 761.09, 1,049.83 and 462.20 is: 637.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.09 : 1,049.83 = 462.20 : x
  2. Step 2: Convert to fraction form
    761.09/1,049.83 = 462.20/x
  3. Step 3: Cross multiply
    761.09x = 1,049.83 × 462.20
  4. Step 4: Simplify right side
    761.09x = 485,225.02
  5. Step 5: Solve for x
    x = 485,225.02/761.09
  6. Step 6: Final answer
    x = 637.54

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1.5x scale

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.