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Finding the Fourth Proportional to 945.13, 1,415.86 and 750.49

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Solution

The fourth proportional to 945.13, 1,415.86 and 750.49 is: 1,124.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.13 : 1,415.86 = 750.49 : x
  2. Step 2: Convert to fraction form
    945.13/1,415.86 = 750.49/x
  3. Step 3: Cross multiply
    945.13x = 1,415.86 × 750.49
  4. Step 4: Simplify right side
    945.13x = 1,062,588.77
  5. Step 5: Solve for x
    x = 1,062,588.77/945.13
  6. Step 6: Final answer
    x = 1,124.28

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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.