Home / 1,020.14-1,528.17-471.58

Finding the Fourth Proportional to 1,020.14, 1,528.17 and 471.58

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Solution

The fourth proportional to 1,020.14, 1,528.17 and 471.58 is: 706.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.14 : 1,528.17 = 471.58 : x
  2. Step 2: Convert to fraction form
    1,020.14/1,528.17 = 471.58/x
  3. Step 3: Cross multiply
    1,020.14x = 1,528.17 × 471.58
  4. Step 4: Simplify right side
    1,020.14x = 720,654.41
  5. Step 5: Solve for x
    x = 720,654.41/1,020.14
  6. Step 6: Final answer
    x = 706.43

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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.