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Finding the Fourth Proportional to 543.86, 750.50 and 311.06

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Solution

The fourth proportional to 543.86, 750.50 and 311.06 is: 429.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.86 : 750.50 = 311.06 : x
  2. Step 2: Convert to fraction form
    543.86/750.50 = 311.06/x
  3. Step 3: Cross multiply
    543.86x = 750.50 × 311.06
  4. Step 4: Simplify right side
    543.86x = 233,450.53
  5. Step 5: Solve for x
    x = 233,450.53/543.86
  6. Step 6: Final answer
    x = 429.25

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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.