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Finding the Fourth Proportional to 737.56, 1,017.93 and 476.34

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Solution

The fourth proportional to 737.56, 1,017.93 and 476.34 is: 657.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.56 : 1,017.93 = 476.34 : x
  2. Step 2: Convert to fraction form
    737.56/1,017.93 = 476.34/x
  3. Step 3: Cross multiply
    737.56x = 1,017.93 × 476.34
  4. Step 4: Simplify right side
    737.56x = 484,880.78
  5. Step 5: Solve for x
    x = 484,880.78/737.56
  6. Step 6: Final answer
    x = 657.41

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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.