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Finding the Fourth Proportional to 737.70, 1,018.62 and 476.16

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Solution

The fourth proportional to 737.70, 1,018.62 and 476.16 is: 657.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.70 : 1,018.62 = 476.16 : x
  2. Step 2: Convert to fraction form
    737.70/1,018.62 = 476.16/x
  3. Step 3: Cross multiply
    737.70x = 1,018.62 × 476.16
  4. Step 4: Simplify right side
    737.70x = 485,026.10
  5. Step 5: Solve for x
    x = 485,026.10/737.70
  6. Step 6: Final answer
    x = 657.48

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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.