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Finding the Fourth Proportional to 931.75, 1,284.98 and 764.99

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Solution

The fourth proportional to 931.75, 1,284.98 and 764.99 is: 1,055.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.75 : 1,284.98 = 764.99 : x
  2. Step 2: Convert to fraction form
    931.75/1,284.98 = 764.99/x
  3. Step 3: Cross multiply
    931.75x = 1,284.98 × 764.99
  4. Step 4: Simplify right side
    931.75x = 982,992.34
  5. Step 5: Solve for x
    x = 982,992.34/931.75
  6. Step 6: Final answer
    x = 1,055.00

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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.