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Finding the Fourth Proportional to 543.93, 750.58 and 311.05

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Solution

The fourth proportional to 543.93, 750.58 and 311.05 is: 429.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.93 : 750.58 = 311.05 : x
  2. Step 2: Convert to fraction form
    543.93/750.58 = 311.05/x
  3. Step 3: Cross multiply
    543.93x = 750.58 × 311.05
  4. Step 4: Simplify right side
    543.93x = 233,467.91
  5. Step 5: Solve for x
    x = 233,467.91/543.93
  6. Step 6: Final answer
    x = 429.22

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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.