Home / 1,418.05-2,127.07-430.86

Finding the Fourth Proportional to 1,418.05, 2,127.07 and 430.86

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Solution

The fourth proportional to 1,418.05, 2,127.07 and 430.86 is: 646.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.05 : 2,127.07 = 430.86 : x
  2. Step 2: Convert to fraction form
    1,418.05/2,127.07 = 430.86/x
  3. Step 3: Cross multiply
    1,418.05x = 2,127.07 × 430.86
  4. Step 4: Simplify right side
    1,418.05x = 916,459.23
  5. Step 5: Solve for x
    x = 916,459.23/1,418.05
  6. Step 6: Final answer
    x = 646.28

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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.