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Finding the Fourth Proportional to 741.56, 1,022.63 and 492.75

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Solution

The fourth proportional to 741.56, 1,022.63 and 492.75 is: 679.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    741.56 : 1,022.63 = 492.75 : x
  2. Step 2: Convert to fraction form
    741.56/1,022.63 = 492.75/x
  3. Step 3: Cross multiply
    741.56x = 1,022.63 × 492.75
  4. Step 4: Simplify right side
    741.56x = 503,898.47
  5. Step 5: Solve for x
    x = 503,898.47/741.56
  6. Step 6: Final answer
    x = 679.52

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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.