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Finding the Fourth Proportional to 520.76, 718.43 and 323.93

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Solution

The fourth proportional to 520.76, 718.43 and 323.93 is: 446.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    520.76 : 718.43 = 323.93 : x
  2. Step 2: Convert to fraction form
    520.76/718.43 = 323.93/x
  3. Step 3: Cross multiply
    520.76x = 718.43 × 323.93
  4. Step 4: Simplify right side
    520.76x = 232,721.21
  5. Step 5: Solve for x
    x = 232,721.21/520.76
  6. Step 6: Final answer
    x = 446.89

Related Problems

Find fourth proportional to 260.38, 359.21 and 161.97
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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.