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Finding the Fourth Proportional to 1,145.51, 1,580.81 and 673.38

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Solution

The fourth proportional to 1,145.51, 1,580.81 and 673.38 is: 929.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,145.51 : 1,580.81 = 673.38 : x
  2. Step 2: Convert to fraction form
    1,145.51/1,580.81 = 673.38/x
  3. Step 3: Cross multiply
    1,145.51x = 1,580.81 × 673.38
  4. Step 4: Simplify right side
    1,145.51x = 1,064,485.84
  5. Step 5: Solve for x
    x = 1,064,485.84/1,145.51
  6. Step 6: Final answer
    x = 929.27

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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.