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Finding the Fourth Proportional to 1,238.45, 1,709.24 and 741.38

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Solution

The fourth proportional to 1,238.45, 1,709.24 and 741.38 is: 1,023.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238.45 : 1,709.24 = 741.38 : x
  2. Step 2: Convert to fraction form
    1,238.45/1,709.24 = 741.38/x
  3. Step 3: Cross multiply
    1,238.45x = 1,709.24 × 741.38
  4. Step 4: Simplify right side
    1,238.45x = 1,267,184.10
  5. Step 5: Solve for x
    x = 1,267,184.10/1,238.45
  6. Step 6: Final answer
    x = 1,023.21

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Half scale
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Double scale
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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.