Home / 1,403.28-2,105.36-429.48

Finding the Fourth Proportional to 1,403.28, 2,105.36 and 429.48

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Solution

The fourth proportional to 1,403.28, 2,105.36 and 429.48 is: 644.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.28 : 2,105.36 = 429.48 : x
  2. Step 2: Convert to fraction form
    1,403.28/2,105.36 = 429.48/x
  3. Step 3: Cross multiply
    1,403.28x = 2,105.36 × 429.48
  4. Step 4: Simplify right side
    1,403.28x = 904,210.01
  5. Step 5: Solve for x
    x = 904,210.01/1,403.28
  6. Step 6: Final answer
    x = 644.35

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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.