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Finding the Fourth Proportional to 1,418.36, 2,126.70 and 430.88

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Solution

The fourth proportional to 1,418.36, 2,126.70 and 430.88 is: 646.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,418.36 : 2,126.70 = 430.88 : x
  2. Step 2: Convert to fraction form
    1,418.36/2,126.70 = 430.88/x
  3. Step 3: Cross multiply
    1,418.36x = 2,126.70 × 430.88
  4. Step 4: Simplify right side
    1,418.36x = 916,341.86
  5. Step 5: Solve for x
    x = 916,341.86/1,418.36
  6. Step 6: Final answer
    x = 646.06

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.