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Finding the Fourth Proportional to 619.08, 924.38 and 527.73

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Solution

The fourth proportional to 619.08, 924.38 and 527.73 is: 787.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.08 : 924.38 = 527.73 : x
  2. Step 2: Convert to fraction form
    619.08/924.38 = 527.73/x
  3. Step 3: Cross multiply
    619.08x = 924.38 × 527.73
  4. Step 4: Simplify right side
    619.08x = 487,820.42
  5. Step 5: Solve for x
    x = 487,820.42/619.08
  6. Step 6: Final answer
    x = 787.98

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.