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Finding the Fourth Proportional to 570.69, 784.58 and 551.25

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Solution

The fourth proportional to 570.69, 784.58 and 551.25 is: 757.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 784.58 = 551.25 : x
  2. Step 2: Convert to fraction form
    570.69/784.58 = 551.25/x
  3. Step 3: Cross multiply
    570.69x = 784.58 × 551.25
  4. Step 4: Simplify right side
    570.69x = 432,496.97
  5. Step 5: Solve for x
    x = 432,496.97/570.69
  6. Step 6: Final answer
    x = 757.85

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.