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Finding the Fourth Proportional to 601.76, 901.80 and 493.76

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Solution

The fourth proportional to 601.76, 901.80 and 493.76 is: 739.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    601.76 : 901.80 = 493.76 : x
  2. Step 2: Convert to fraction form
    601.76/901.80 = 493.76/x
  3. Step 3: Cross multiply
    601.76x = 901.80 × 493.76
  4. Step 4: Simplify right side
    601.76x = 445,272.77
  5. Step 5: Solve for x
    x = 445,272.77/601.76
  6. Step 6: Final answer
    x = 739.95

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.