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Finding the Fourth Proportional to 570.69, 851.58 and 506.70

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Solution

The fourth proportional to 570.69, 851.58 and 506.70 is: 756.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    570.69 : 851.58 = 506.70 : x
  2. Step 2: Convert to fraction form
    570.69/851.58 = 506.70/x
  3. Step 3: Cross multiply
    570.69x = 851.58 × 506.70
  4. Step 4: Simplify right side
    570.69x = 431,495.59
  5. Step 5: Solve for x
    x = 431,495.59/570.69
  6. Step 6: Final answer
    x = 756.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.