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Finding the Fourth Proportional to 1,419.85, 2,129.78 and 432.67

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Solution

The fourth proportional to 1,419.85, 2,129.78 and 432.67 is: 649.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.85 : 2,129.78 = 432.67 : x
  2. Step 2: Convert to fraction form
    1,419.85/2,129.78 = 432.67/x
  3. Step 3: Cross multiply
    1,419.85x = 2,129.78 × 432.67
  4. Step 4: Simplify right side
    1,419.85x = 921,491.91
  5. Step 5: Solve for x
    x = 921,491.91/1,419.85
  6. Step 6: Final answer
    x = 649.01

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Double scale
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Similar ratio
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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.