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Finding the Fourth Proportional to 934.99, 1,402.74 and 761.23

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Solution

The fourth proportional to 934.99, 1,402.74 and 761.23 is: 1,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    934.99 : 1,402.74 = 761.23 : x
  2. Step 2: Convert to fraction form
    934.99/1,402.74 = 761.23/x
  3. Step 3: Cross multiply
    934.99x = 1,402.74 × 761.23
  4. Step 4: Simplify right side
    934.99x = 1,067,807.77
  5. Step 5: Solve for x
    x = 1,067,807.77/934.99
  6. Step 6: Final answer
    x = 1,142.05

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.