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Finding the Fourth Proportional to 737.68, 1,018.49 and 569.32

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Solution

The fourth proportional to 737.68, 1,018.49 and 569.32 is: 786.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.68 : 1,018.49 = 569.32 : x
  2. Step 2: Convert to fraction form
    737.68/1,018.49 = 569.32/x
  3. Step 3: Cross multiply
    737.68x = 1,018.49 × 569.32
  4. Step 4: Simplify right side
    737.68x = 579,846.73
  5. Step 5: Solve for x
    x = 579,846.73/737.68
  6. Step 6: Final answer
    x = 786.04

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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.