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Finding the Fourth Proportional to 927.64, 1,273.07 and 840.16

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Solution

The fourth proportional to 927.64, 1,273.07 and 840.16 is: 1,153.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    927.64 : 1,273.07 = 840.16 : x
  2. Step 2: Convert to fraction form
    927.64/1,273.07 = 840.16/x
  3. Step 3: Cross multiply
    927.64x = 1,273.07 × 840.16
  4. Step 4: Simplify right side
    927.64x = 1,069,582.49
  5. Step 5: Solve for x
    x = 1,069,582.49/927.64
  6. Step 6: Final answer
    x = 1,153.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.