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Finding the Fourth Proportional to 1,412.99, 2,119.47 and 632.81

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Solution

The fourth proportional to 1,412.99, 2,119.47 and 632.81 is: 949.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412.99 : 2,119.47 = 632.81 : x
  2. Step 2: Convert to fraction form
    1,412.99/2,119.47 = 632.81/x
  3. Step 3: Cross multiply
    1,412.99x = 2,119.47 × 632.81
  4. Step 4: Simplify right side
    1,412.99x = 1,341,221.81
  5. Step 5: Solve for x
    x = 1,341,221.81/1,412.99
  6. Step 6: Final answer
    x = 949.21

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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 (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.