Home / 1,020.23-1,529.70-471.71

Finding the Fourth Proportional to 1,020.23, 1,529.70 and 471.71

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Solution

The fourth proportional to 1,020.23, 1,529.70 and 471.71 is: 707.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,020.23 : 1,529.70 = 471.71 : x
  2. Step 2: Convert to fraction form
    1,020.23/1,529.70 = 471.71/x
  3. Step 3: Cross multiply
    1,020.23x = 1,529.70 × 471.71
  4. Step 4: Simplify right side
    1,020.23x = 721,567.14
  5. Step 5: Solve for x
    x = 721,567.14/1,020.23
  6. Step 6: Final answer
    x = 707.26

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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.