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Finding the Fourth Proportional to 935.71, 1,290.29 and 719.75

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Solution

The fourth proportional to 935.71, 1,290.29 and 719.75 is: 992.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    935.71 : 1,290.29 = 719.75 : x
  2. Step 2: Convert to fraction form
    935.71/1,290.29 = 719.75/x
  3. Step 3: Cross multiply
    935.71x = 1,290.29 × 719.75
  4. Step 4: Simplify right side
    935.71x = 928,678.60
  5. Step 5: Solve for x
    x = 928,678.60/935.71
  6. Step 6: Final answer
    x = 992.48

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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.