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Finding the Fourth Proportional to 945.35, 1,415.43 and 713.56

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Solution

The fourth proportional to 945.35, 1,415.43 and 713.56 is: 1,068.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.35 : 1,415.43 = 713.56 : x
  2. Step 2: Convert to fraction form
    945.35/1,415.43 = 713.56/x
  3. Step 3: Cross multiply
    945.35x = 1,415.43 × 713.56
  4. Step 4: Simplify right side
    945.35x = 1,009,983.59
  5. Step 5: Solve for x
    x = 1,009,983.59/945.35
  6. Step 6: Final answer
    x = 1,068.37

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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.