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Finding the Fourth Proportional to 579.40, 872.24 and 530.92

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Solution

The fourth proportional to 579.40, 872.24 and 530.92 is: 799.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    579.40 : 872.24 = 530.92 : x
  2. Step 2: Convert to fraction form
    579.40/872.24 = 530.92/x
  3. Step 3: Cross multiply
    579.40x = 872.24 × 530.92
  4. Step 4: Simplify right side
    579.40x = 463,089.66
  5. Step 5: Solve for x
    x = 463,089.66/579.40
  6. Step 6: Final answer
    x = 799.26

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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.