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Finding the Fourth Proportional to 1,068.68, 1,465.15 and 1,049.24

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Solution

The fourth proportional to 1,068.68, 1,465.15 and 1,049.24 is: 1,438.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,068.68 : 1,465.15 = 1,049.24 : x
  2. Step 2: Convert to fraction form
    1,068.68/1,465.15 = 1,049.24/x
  3. Step 3: Cross multiply
    1,068.68x = 1,465.15 × 1,049.24
  4. Step 4: Simplify right side
    1,068.68x = 1,537,293.99
  5. Step 5: Solve for x
    x = 1,537,293.99/1,068.68
  6. Step 6: Final answer
    x = 1,438.50

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.