Home / 1,658.34-2,288.63-1,162.16

Finding the Fourth Proportional to 1,658.34, 2,288.63 and 1,162.16

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Solution

The fourth proportional to 1,658.34, 2,288.63 and 1,162.16 is: 1,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.34 : 2,288.63 = 1,162.16 : x
  2. Step 2: Convert to fraction form
    1,658.34/2,288.63 = 1,162.16/x
  3. Step 3: Cross multiply
    1,658.34x = 2,288.63 × 1,162.16
  4. Step 4: Simplify right side
    1,658.34x = 2,659,754.24
  5. Step 5: Solve for x
    x = 2,659,754.24/1,658.34
  6. Step 6: Final answer
    x = 1,603.87

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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.