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Finding the Fourth Proportional to 1,406.99, 2,110.89 and 433.24

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Solution

The fourth proportional to 1,406.99, 2,110.89 and 433.24 is: 649.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,406.99 : 2,110.89 = 433.24 : x
  2. Step 2: Convert to fraction form
    1,406.99/2,110.89 = 433.24/x
  3. Step 3: Cross multiply
    1,406.99x = 2,110.89 × 433.24
  4. Step 4: Simplify right side
    1,406.99x = 914,521.98
  5. Step 5: Solve for x
    x = 914,521.98/1,406.99
  6. Step 6: Final answer
    x = 649.98

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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.