Home / 1,021.53-1,531.71-328.08

Finding the Fourth Proportional to 1,021.53, 1,531.71 and 328.08

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Solution

The fourth proportional to 1,021.53, 1,531.71 and 328.08 is: 491.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.53 : 1,531.71 = 328.08 : x
  2. Step 2: Convert to fraction form
    1,021.53/1,531.71 = 328.08/x
  3. Step 3: Cross multiply
    1,021.53x = 1,531.71 × 328.08
  4. Step 4: Simplify right side
    1,021.53x = 502,523.42
  5. Step 5: Solve for x
    x = 502,523.42/1,021.53
  6. Step 6: Final answer
    x = 491.93

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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.