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Finding the Fourth Proportional to 570.69, 787.43 and 360.90

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Solution

The fourth proportional to 570.69, 787.43 and 360.90 is: 497.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 787.43 = 360.90 : x
  2. Step 2: Convert to fraction form
    570.69/787.43 = 360.90/x
  3. Step 3: Cross multiply
    570.69x = 787.43 × 360.90
  4. Step 4: Simplify right side
    570.69x = 284,181.68
  5. Step 5: Solve for x
    x = 284,181.68/570.69
  6. Step 6: Final answer
    x = 497.96

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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.