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Finding the Fourth Proportional to 543.51, 815.01 and 324.23

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Solution

The fourth proportional to 543.51, 815.01 and 324.23 is: 486.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.51 : 815.01 = 324.23 : x
  2. Step 2: Convert to fraction form
    543.51/815.01 = 324.23/x
  3. Step 3: Cross multiply
    543.51x = 815.01 × 324.23
  4. Step 4: Simplify right side
    543.51x = 264,248.65
  5. Step 5: Solve for x
    x = 264,248.65/543.51
  6. Step 6: Final answer
    x = 486.19

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1.5x scale

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.