Home / 1,658.63-2,286.49-1,159.72

Finding the Fourth Proportional to 1,658.63, 2,286.49 and 1,159.72

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Solution

The fourth proportional to 1,658.63, 2,286.49 and 1,159.72 is: 1,598.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,658.63 : 2,286.49 = 1,159.72 : x
  2. Step 2: Convert to fraction form
    1,658.63/2,286.49 = 1,159.72/x
  3. Step 3: Cross multiply
    1,658.63x = 2,286.49 × 1,159.72
  4. Step 4: Simplify right side
    1,658.63x = 2,651,688.18
  5. Step 5: Solve for x
    x = 2,651,688.18/1,658.63
  6. Step 6: Final answer
    x = 1,598.72

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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.