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Finding the Fourth Proportional to 918.08, 1,270.24 and 801.76

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Solution

The fourth proportional to 918.08, 1,270.24 and 801.76 is: 1,109.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    918.08 : 1,270.24 = 801.76 : x
  2. Step 2: Convert to fraction form
    918.08/1,270.24 = 801.76/x
  3. Step 3: Cross multiply
    918.08x = 1,270.24 × 801.76
  4. Step 4: Simplify right side
    918.08x = 1,018,427.62
  5. Step 5: Solve for x
    x = 1,018,427.62/918.08
  6. Step 6: Final answer
    x = 1,109.30

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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.