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Finding the Fourth Proportional to 619.09, 924.79 and 497.59

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Solution

The fourth proportional to 619.09, 924.79 and 497.59 is: 743.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    619.09 : 924.79 = 497.59 : x
  2. Step 2: Convert to fraction form
    619.09/924.79 = 497.59/x
  3. Step 3: Cross multiply
    619.09x = 924.79 × 497.59
  4. Step 4: Simplify right side
    619.09x = 460,166.26
  5. Step 5: Solve for x
    x = 460,166.26/619.09
  6. Step 6: Final answer
    x = 743.29

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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.