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Finding the Fourth Proportional to 1,051.24, 1,448.92 and 719.10

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Solution

The fourth proportional to 1,051.24, 1,448.92 and 719.10 is: 991.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,051.24 : 1,448.92 = 719.10 : x
  2. Step 2: Convert to fraction form
    1,051.24/1,448.92 = 719.10/x
  3. Step 3: Cross multiply
    1,051.24x = 1,448.92 × 719.10
  4. Step 4: Simplify right side
    1,051.24x = 1,041,918.37
  5. Step 5: Solve for x
    x = 1,041,918.37/1,051.24
  6. Step 6: Final answer
    x = 991.13

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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.