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Finding the Fourth Proportional to 619.12, 927.60 and 577

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Solution

The fourth proportional to 619.12, 927.60 and 577 is: 864.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.12 : 927.60 = 577 : x
  2. Step 2: Convert to fraction form
    619.12/927.60 = 577/x
  3. Step 3: Cross multiply
    619.12x = 927.60 × 577
  4. Step 4: Simplify right side
    619.12x = 535,225.20
  5. Step 5: Solve for x
    x = 535,225.20/619.12
  6. Step 6: Final answer
    x = 864.49

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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.