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Finding the Fourth Proportional to 931.99, 1,396.77 and 714.51

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Solution

The fourth proportional to 931.99, 1,396.77 and 714.51 is: 1,070.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.99 : 1,396.77 = 714.51 : x
  2. Step 2: Convert to fraction form
    931.99/1,396.77 = 714.51/x
  3. Step 3: Cross multiply
    931.99x = 1,396.77 × 714.51
  4. Step 4: Simplify right side
    931.99x = 998,006.13
  5. Step 5: Solve for x
    x = 998,006.13/931.99
  6. Step 6: Final answer
    x = 1,070.83

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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.