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Finding the Fourth Proportional to 581.51, 872.58 and 257.12

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Solution

The fourth proportional to 581.51, 872.58 and 257.12 is: 385.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    581.51 : 872.58 = 257.12 : x
  2. Step 2: Convert to fraction form
    581.51/872.58 = 257.12/x
  3. Step 3: Cross multiply
    581.51x = 872.58 × 257.12
  4. Step 4: Simplify right side
    581.51x = 224,357.77
  5. Step 5: Solve for x
    x = 224,357.77/581.51
  6. Step 6: Final answer
    x = 385.82

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.