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Finding the Fourth Proportional to 493.53, 741.46 and 492.76

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Solution

The fourth proportional to 493.53, 741.46 and 492.76 is: 740.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.53 : 741.46 = 492.76 : x
  2. Step 2: Convert to fraction form
    493.53/741.46 = 492.76/x
  3. Step 3: Cross multiply
    493.53x = 741.46 × 492.76
  4. Step 4: Simplify right side
    493.53x = 365,361.83
  5. Step 5: Solve for x
    x = 365,361.83/493.53
  6. Step 6: Final answer
    x = 740.30

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1.5x scale

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.