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Finding the Fourth Proportional to 570.85, 787.52 and 423.83

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Solution

The fourth proportional to 570.85, 787.52 and 423.83 is: 584.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.85 : 787.52 = 423.83 : x
  2. Step 2: Convert to fraction form
    570.85/787.52 = 423.83/x
  3. Step 3: Cross multiply
    570.85x = 787.52 × 423.83
  4. Step 4: Simplify right side
    570.85x = 333,777.63
  5. Step 5: Solve for x
    x = 333,777.63/570.85
  6. Step 6: Final answer
    x = 584.71

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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.