Home / 1,021.48-1,532.16-328.12

Finding the Fourth Proportional to 1,021.48, 1,532.16 and 328.12

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Solution

The fourth proportional to 1,021.48, 1,532.16 and 328.12 is: 492.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,021.48 : 1,532.16 = 328.12 : x
  2. Step 2: Convert to fraction form
    1,021.48/1,532.16 = 328.12/x
  3. Step 3: Cross multiply
    1,021.48x = 1,532.16 × 328.12
  4. Step 4: Simplify right side
    1,021.48x = 502,728.51
  5. Step 5: Solve for x
    x = 502,728.51/1,021.48
  6. Step 6: Final answer
    x = 492.16

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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.