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Finding the Fourth Proportional to 1,018.97, 1,528.94 and 471.26

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Solution

The fourth proportional to 1,018.97, 1,528.94 and 471.26 is: 707.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018.97 : 1,528.94 = 471.26 : x
  2. Step 2: Convert to fraction form
    1,018.97/1,528.94 = 471.26/x
  3. Step 3: Cross multiply
    1,018.97x = 1,528.94 × 471.26
  4. Step 4: Simplify right side
    1,018.97x = 720,529.73
  5. Step 5: Solve for x
    x = 720,529.73/1,018.97
  6. Step 6: Final answer
    x = 707.11

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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.