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Finding the Fourth Proportional to 613.77, 924.12 and 541.12

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Solution

The fourth proportional to 613.77, 924.12 and 541.12 is: 814.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    613.77 : 924.12 = 541.12 : x
  2. Step 2: Convert to fraction form
    613.77/924.12 = 541.12/x
  3. Step 3: Cross multiply
    613.77x = 924.12 × 541.12
  4. Step 4: Simplify right side
    613.77x = 500,052.49
  5. Step 5: Solve for x
    x = 500,052.49/613.77
  6. Step 6: Final answer
    x = 814.72

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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.