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Finding the Fourth Proportional to 737.10, 1,018.17 and 564.57

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Solution

The fourth proportional to 737.10, 1,018.17 and 564.57 is: 779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    737.10 : 1,018.17 = 564.57 : x
  2. Step 2: Convert to fraction form
    737.10/1,018.17 = 564.57/x
  3. Step 3: Cross multiply
    737.10x = 1,018.17 × 564.57
  4. Step 4: Simplify right side
    737.10x = 574,828.24
  5. Step 5: Solve for x
    x = 574,828.24/737.10
  6. Step 6: Final answer
    x = 779.85

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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.