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Finding the Fourth Proportional to 943.36, 1,415.28 and 430.72

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Solution

The fourth proportional to 943.36, 1,415.28 and 430.72 is: 646.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.36 : 1,415.28 = 430.72 : x
  2. Step 2: Convert to fraction form
    943.36/1,415.28 = 430.72/x
  3. Step 3: Cross multiply
    943.36x = 1,415.28 × 430.72
  4. Step 4: Simplify right side
    943.36x = 609,589.40
  5. Step 5: Solve for x
    x = 609,589.40/943.36
  6. Step 6: Final answer
    x = 646.19

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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.