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Finding the Fourth Proportional to 918.64, 1,379.33 and 902.24

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Solution

The fourth proportional to 918.64, 1,379.33 and 902.24 is: 1,354.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.64 : 1,379.33 = 902.24 : x
  2. Step 2: Convert to fraction form
    918.64/1,379.33 = 902.24/x
  3. Step 3: Cross multiply
    918.64x = 1,379.33 × 902.24
  4. Step 4: Simplify right side
    918.64x = 1,244,483.85
  5. Step 5: Solve for x
    x = 1,244,483.85/918.64
  6. Step 6: Final answer
    x = 1,354.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.