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Finding the Fourth Proportional to 576.40, 868.45 and 521.63

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Solution

The fourth proportional to 576.40, 868.45 and 521.63 is: 785.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    576.40 : 868.45 = 521.63 : x
  2. Step 2: Convert to fraction form
    576.40/868.45 = 521.63/x
  3. Step 3: Cross multiply
    576.40x = 868.45 × 521.63
  4. Step 4: Simplify right side
    576.40x = 453,009.57
  5. Step 5: Solve for x
    x = 453,009.57/576.40
  6. Step 6: Final answer
    x = 785.93

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.