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Finding the Fourth Proportional to 543.75, 750.38 and 311.01

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Solution

The fourth proportional to 543.75, 750.38 and 311.01 is: 429.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.75 : 750.38 = 311.01 : x
  2. Step 2: Convert to fraction form
    543.75/750.38 = 311.01/x
  3. Step 3: Cross multiply
    543.75x = 750.38 × 311.01
  4. Step 4: Simplify right side
    543.75x = 233,374.13
  5. Step 5: Solve for x
    x = 233,374.13/543.75
  6. Step 6: Final answer
    x = 429.19

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.