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Finding the Fourth Proportional to 1,021.26, 1,529.86 and 472.70

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Solution

The fourth proportional to 1,021.26, 1,529.86 and 472.70 is: 708.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.26 : 1,529.86 = 472.70 : x
  2. Step 2: Convert to fraction form
    1,021.26/1,529.86 = 472.70/x
  3. Step 3: Cross multiply
    1,021.26x = 1,529.86 × 472.70
  4. Step 4: Simplify right side
    1,021.26x = 723,164.82
  5. Step 5: Solve for x
    x = 723,164.82/1,021.26
  6. Step 6: Final answer
    x = 708.11

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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.