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Finding the Fourth Proportional to 570.56, 787.15 and 346.34

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Solution

The fourth proportional to 570.56, 787.15 and 346.34 is: 477.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.56 : 787.15 = 346.34 : x
  2. Step 2: Convert to fraction form
    570.56/787.15 = 346.34/x
  3. Step 3: Cross multiply
    570.56x = 787.15 × 346.34
  4. Step 4: Simplify right side
    570.56x = 272,624.48
  5. Step 5: Solve for x
    x = 272,624.48/570.56
  6. Step 6: Final answer
    x = 477.82

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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.