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Finding the Fourth Proportional to 570.69, 787.58 and 349.77

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Solution

The fourth proportional to 570.69, 787.58 and 349.77 is: 482.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 787.58 = 349.77 : x
  2. Step 2: Convert to fraction form
    570.69/787.58 = 349.77/x
  3. Step 3: Cross multiply
    570.69x = 787.58 × 349.77
  4. Step 4: Simplify right side
    570.69x = 275,470.11
  5. Step 5: Solve for x
    x = 275,470.11/570.69
  6. Step 6: Final answer
    x = 482.70

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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.