Home / 1,021.91-1,531.79-429.27

Finding the Fourth Proportional to 1,021.91, 1,531.79 and 429.27

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Solution

The fourth proportional to 1,021.91, 1,531.79 and 429.27 is: 643.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.91 : 1,531.79 = 429.27 : x
  2. Step 2: Convert to fraction form
    1,021.91/1,531.79 = 429.27/x
  3. Step 3: Cross multiply
    1,021.91x = 1,531.79 × 429.27
  4. Step 4: Simplify right side
    1,021.91x = 657,543.83
  5. Step 5: Solve for x
    x = 657,543.83/1,021.91
  6. Step 6: Final answer
    x = 643.45

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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.