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Finding the Fourth Proportional to 619.92, 933.48 and 543.72

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Solution

The fourth proportional to 619.92, 933.48 and 543.72 is: 818.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.92 : 933.48 = 543.72 : x
  2. Step 2: Convert to fraction form
    619.92/933.48 = 543.72/x
  3. Step 3: Cross multiply
    619.92x = 933.48 × 543.72
  4. Step 4: Simplify right side
    619.92x = 507,551.75
  5. Step 5: Solve for x
    x = 507,551.75/619.92
  6. Step 6: Final answer
    x = 818.74

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.