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Finding the Fourth Proportional to 1,145.48, 1,581.14 and 673.37

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Solution

The fourth proportional to 1,145.48, 1,581.14 and 673.37 is: 929.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.48 : 1,581.14 = 673.37 : x
  2. Step 2: Convert to fraction form
    1,145.48/1,581.14 = 673.37/x
  3. Step 3: Cross multiply
    1,145.48x = 1,581.14 × 673.37
  4. Step 4: Simplify right side
    1,145.48x = 1,064,692.24
  5. Step 5: Solve for x
    x = 1,064,692.24/1,145.48
  6. Step 6: Final answer
    x = 929.47

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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.