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Finding the Fourth Proportional to 601.74, 830.78 and 491.48

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Solution

The fourth proportional to 601.74, 830.78 and 491.48 is: 678.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.74 : 830.78 = 491.48 : x
  2. Step 2: Convert to fraction form
    601.74/830.78 = 491.48/x
  3. Step 3: Cross multiply
    601.74x = 830.78 × 491.48
  4. Step 4: Simplify right side
    601.74x = 408,306.99
  5. Step 5: Solve for x
    x = 408,306.99/601.74
  6. Step 6: Final answer
    x = 678.55

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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.