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Finding the Fourth Proportional to 570.49, 787.18 and 321.76

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Solution

The fourth proportional to 570.49, 787.18 and 321.76 is: 443.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.49 : 787.18 = 321.76 : x
  2. Step 2: Convert to fraction form
    570.49/787.18 = 321.76/x
  3. Step 3: Cross multiply
    570.49x = 787.18 × 321.76
  4. Step 4: Simplify right side
    570.49x = 253,283.04
  5. Step 5: Solve for x
    x = 253,283.04/570.49
  6. Step 6: Final answer
    x = 443.97

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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.