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Finding the Fourth Proportional to 537.79, 742.21 and 313.77

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Solution

The fourth proportional to 537.79, 742.21 and 313.77 is: 433.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    537.79 : 742.21 = 313.77 : x
  2. Step 2: Convert to fraction form
    537.79/742.21 = 313.77/x
  3. Step 3: Cross multiply
    537.79x = 742.21 × 313.77
  4. Step 4: Simplify right side
    537.79x = 232,887.00
  5. Step 5: Solve for x
    x = 232,887.00/537.79
  6. Step 6: Final answer
    x = 433.04

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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.