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Finding the Fourth Proportional to 543.34, 813.93 and 505.42

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Solution

The fourth proportional to 543.34, 813.93 and 505.42 is: 757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.34 : 813.93 = 505.42 : x
  2. Step 2: Convert to fraction form
    543.34/813.93 = 505.42/x
  3. Step 3: Cross multiply
    543.34x = 813.93 × 505.42
  4. Step 4: Simplify right side
    543.34x = 411,376.50
  5. Step 5: Solve for x
    x = 411,376.50/543.34
  6. Step 6: Final answer
    x = 757.13

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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.