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Finding the Fourth Proportional to 523.79, 722.78 and 313.93

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Solution

The fourth proportional to 523.79, 722.78 and 313.93 is: 433.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    523.79 : 722.78 = 313.93 : x
  2. Step 2: Convert to fraction form
    523.79/722.78 = 313.93/x
  3. Step 3: Cross multiply
    523.79x = 722.78 × 313.93
  4. Step 4: Simplify right side
    523.79x = 226,898.77
  5. Step 5: Solve for x
    x = 226,898.77/523.79
  6. Step 6: Final answer
    x = 433.19

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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.