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Finding the Fourth Proportional to 943.82, 1,415.70 and 430.82

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Solution

The fourth proportional to 943.82, 1,415.70 and 430.82 is: 646.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    943.82 : 1,415.70 = 430.82 : x
  2. Step 2: Convert to fraction form
    943.82/1,415.70 = 430.82/x
  3. Step 3: Cross multiply
    943.82x = 1,415.70 × 430.82
  4. Step 4: Simplify right side
    943.82x = 609,911.87
  5. Step 5: Solve for x
    x = 609,911.87/943.82
  6. Step 6: Final answer
    x = 646.22

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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.