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Finding the Fourth Proportional to 945.19, 1,304.54 and 737.83

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Solution

The fourth proportional to 945.19, 1,304.54 and 737.83 is: 1,018.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    945.19 : 1,304.54 = 737.83 : x
  2. Step 2: Convert to fraction form
    945.19/1,304.54 = 737.83/x
  3. Step 3: Cross multiply
    945.19x = 1,304.54 × 737.83
  4. Step 4: Simplify right side
    945.19x = 962,528.75
  5. Step 5: Solve for x
    x = 962,528.75/945.19
  6. Step 6: Final answer
    x = 1,018.34

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.