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Finding the Fourth Proportional to 660.57, 910.35 and 541.85

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Solution

The fourth proportional to 660.57, 910.35 and 541.85 is: 746.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.57 : 910.35 = 541.85 : x
  2. Step 2: Convert to fraction form
    660.57/910.35 = 541.85/x
  3. Step 3: Cross multiply
    660.57x = 910.35 × 541.85
  4. Step 4: Simplify right side
    660.57x = 493,272.02
  5. Step 5: Solve for x
    x = 493,272.02/660.57
  6. Step 6: Final answer
    x = 746.74

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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.