Home / 1,403.56-2,105.06-429.46

Finding the Fourth Proportional to 1,403.56, 2,105.06 and 429.46

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Solution

The fourth proportional to 1,403.56, 2,105.06 and 429.46 is: 644.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,403.56 : 2,105.06 = 429.46 : x
  2. Step 2: Convert to fraction form
    1,403.56/2,105.06 = 429.46/x
  3. Step 3: Cross multiply
    1,403.56x = 2,105.06 × 429.46
  4. Step 4: Simplify right side
    1,403.56x = 904,039.07
  5. Step 5: Solve for x
    x = 904,039.07/1,403.56
  6. Step 6: Final answer
    x = 644.10

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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.