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Finding the Fourth Proportional to 522.90, 721.49 and 313.14

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Solution

The fourth proportional to 522.90, 721.49 and 313.14 is: 432.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    522.90 : 721.49 = 313.14 : x
  2. Step 2: Convert to fraction form
    522.90/721.49 = 313.14/x
  3. Step 3: Cross multiply
    522.90x = 721.49 × 313.14
  4. Step 4: Simplify right side
    522.90x = 225,925.81
  5. Step 5: Solve for x
    x = 225,925.81/522.90
  6. Step 6: Final answer
    x = 432.06

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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.