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Finding the Fourth Proportional to 921.06, 1,386.97 and 776.07

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Solution

The fourth proportional to 921.06, 1,386.97 and 776.07 is: 1,168.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    921.06 : 1,386.97 = 776.07 : x
  2. Step 2: Convert to fraction form
    921.06/1,386.97 = 776.07/x
  3. Step 3: Cross multiply
    921.06x = 1,386.97 × 776.07
  4. Step 4: Simplify right side
    921.06x = 1,076,383.87
  5. Step 5: Solve for x
    x = 1,076,383.87/921.06
  6. Step 6: Final answer
    x = 1,168.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.