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Finding the Fourth Proportional to 914.11, 1,261.69 and 560.28

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Solution

The fourth proportional to 914.11, 1,261.69 and 560.28 is: 773.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.11 : 1,261.69 = 560.28 : x
  2. Step 2: Convert to fraction form
    914.11/1,261.69 = 560.28/x
  3. Step 3: Cross multiply
    914.11x = 1,261.69 × 560.28
  4. Step 4: Simplify right side
    914.11x = 706,895.51
  5. Step 5: Solve for x
    x = 706,895.51/914.11
  6. Step 6: Final answer
    x = 773.32

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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.