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Finding the Fourth Proportional to 914.68, 1,261.69 and 665.29

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Solution

The fourth proportional to 914.68, 1,261.69 and 665.29 is: 917.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    914.68 : 1,261.69 = 665.29 : x
  2. Step 2: Convert to fraction form
    914.68/1,261.69 = 665.29/x
  3. Step 3: Cross multiply
    914.68x = 1,261.69 × 665.29
  4. Step 4: Simplify right side
    914.68x = 839,389.74
  5. Step 5: Solve for x
    x = 839,389.74/914.68
  6. Step 6: Final answer
    x = 917.69

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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.