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Finding the Fourth Proportional to 543.15, 813.69 and 457.02

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Solution

The fourth proportional to 543.15, 813.69 and 457.02 is: 684.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    543.15 : 813.69 = 457.02 : x
  2. Step 2: Convert to fraction form
    543.15/813.69 = 457.02/x
  3. Step 3: Cross multiply
    543.15x = 813.69 × 457.02
  4. Step 4: Simplify right side
    543.15x = 371,872.60
  5. Step 5: Solve for x
    x = 371,872.60/543.15
  6. Step 6: Final answer
    x = 684.66

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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.