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Finding the Fourth Proportional to 904.82, 1,357.22 and 472.82

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Solution

The fourth proportional to 904.82, 1,357.22 and 472.82 is: 709.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.82 : 1,357.22 = 472.82 : x
  2. Step 2: Convert to fraction form
    904.82/1,357.22 = 472.82/x
  3. Step 3: Cross multiply
    904.82x = 1,357.22 × 472.82
  4. Step 4: Simplify right side
    904.82x = 641,715.16
  5. Step 5: Solve for x
    x = 641,715.16/904.82
  6. Step 6: Final answer
    x = 709.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.