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Finding the Fourth Proportional to 619.31, 925.54 and 497.00

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Solution

The fourth proportional to 619.31, 925.54 and 497.00 is: 742.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.31 : 925.54 = 497.00 : x
  2. Step 2: Convert to fraction form
    619.31/925.54 = 497.00/x
  3. Step 3: Cross multiply
    619.31x = 925.54 × 497.00
  4. Step 4: Simplify right side
    619.31x = 459,997.25
  5. Step 5: Solve for x
    x = 459,997.25/619.31
  6. Step 6: Final answer
    x = 742.75

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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.