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Finding the Fourth Proportional to 660.41, 909.95 and 541.98

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Solution

The fourth proportional to 660.41, 909.95 and 541.98 is: 746.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.41 : 909.95 = 541.98 : x
  2. Step 2: Convert to fraction form
    660.41/909.95 = 541.98/x
  3. Step 3: Cross multiply
    660.41x = 909.95 × 541.98
  4. Step 4: Simplify right side
    660.41x = 493,171.99
  5. Step 5: Solve for x
    x = 493,171.99/660.41
  6. Step 6: Final answer
    x = 746.77

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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.