Home / 1,427.02-2,138.38-646.58

Finding the Fourth Proportional to 1,427.02, 2,138.38 and 646.58

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Solution

The fourth proportional to 1,427.02, 2,138.38 and 646.58 is: 968.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.02 : 2,138.38 = 646.58 : x
  2. Step 2: Convert to fraction form
    1,427.02/2,138.38 = 646.58/x
  3. Step 3: Cross multiply
    1,427.02x = 2,138.38 × 646.58
  4. Step 4: Simplify right side
    1,427.02x = 1,382,633.74
  5. Step 5: Solve for x
    x = 1,382,633.74/1,427.02
  6. Step 6: Final answer
    x = 968.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.