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Finding the Fourth Proportional to 1,051.99, 1,451.37 and 737.77

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Solution

The fourth proportional to 1,051.99, 1,451.37 and 737.77 is: 1,017.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.99 : 1,451.37 = 737.77 : x
  2. Step 2: Convert to fraction form
    1,051.99/1,451.37 = 737.77/x
  3. Step 3: Cross multiply
    1,051.99x = 1,451.37 × 737.77
  4. Step 4: Simplify right side
    1,051.99x = 1,070,777.24
  5. Step 5: Solve for x
    x = 1,070,777.24/1,051.99
  6. Step 6: Final answer
    x = 1,017.86

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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.