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Finding the Fourth Proportional to 541.96, 746.20 and 492.70

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Solution

The fourth proportional to 541.96, 746.20 and 492.70 is: 678.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.96 : 746.20 = 492.70 : x
  2. Step 2: Convert to fraction form
    541.96/746.20 = 492.70/x
  3. Step 3: Cross multiply
    541.96x = 746.20 × 492.70
  4. Step 4: Simplify right side
    541.96x = 367,652.74
  5. Step 5: Solve for x
    x = 367,652.74/541.96
  6. Step 6: Final answer
    x = 678.38

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1.5x scale

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.