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Finding the Fourth Proportional to 601.79, 829.72 and 497.30

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Solution

The fourth proportional to 601.79, 829.72 and 497.30 is: 685.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.79 : 829.72 = 497.30 : x
  2. Step 2: Convert to fraction form
    601.79/829.72 = 497.30/x
  3. Step 3: Cross multiply
    601.79x = 829.72 × 497.30
  4. Step 4: Simplify right side
    601.79x = 412,619.76
  5. Step 5: Solve for x
    x = 412,619.76/601.79
  6. Step 6: Final answer
    x = 685.65

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.