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Finding the Fourth Proportional to 913.86, 1,261.53 and 693.81

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Solution

The fourth proportional to 913.86, 1,261.53 and 693.81 is: 957.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    913.86 : 1,261.53 = 693.81 : x
  2. Step 2: Convert to fraction form
    913.86/1,261.53 = 693.81/x
  3. Step 3: Cross multiply
    913.86x = 1,261.53 × 693.81
  4. Step 4: Simplify right side
    913.86x = 875,262.13
  5. Step 5: Solve for x
    x = 875,262.13/913.86
  6. Step 6: Final answer
    x = 957.76

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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.