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Finding the Fourth Proportional to 624.20, 934.95 and 543.20

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Solution

The fourth proportional to 624.20, 934.95 and 543.20 is: 813.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    624.20 : 934.95 = 543.20 : x
  2. Step 2: Convert to fraction form
    624.20/934.95 = 543.20/x
  3. Step 3: Cross multiply
    624.20x = 934.95 × 543.20
  4. Step 4: Simplify right side
    624.20x = 507,864.84
  5. Step 5: Solve for x
    x = 507,864.84/624.20
  6. Step 6: Final answer
    x = 813.63

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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.