Home / 1,660.47-2,291.57-914.52

Finding the Fourth Proportional to 1,660.47, 2,291.57 and 914.52

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Solution

The fourth proportional to 1,660.47, 2,291.57 and 914.52 is: 1,262.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,660.47 : 2,291.57 = 914.52 : x
  2. Step 2: Convert to fraction form
    1,660.47/2,291.57 = 914.52/x
  3. Step 3: Cross multiply
    1,660.47x = 2,291.57 × 914.52
  4. Step 4: Simplify right side
    1,660.47x = 2,095,682.02
  5. Step 5: Solve for x
    x = 2,095,682.02/1,660.47
  6. Step 6: Final answer
    x = 1,262.10

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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.