Home / 1,427.08-2,140.24-646.80

Finding the Fourth Proportional to 1,427.08, 2,140.24 and 646.80

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Solution

The fourth proportional to 1,427.08, 2,140.24 and 646.80 is: 970.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.08 : 2,140.24 = 646.80 : x
  2. Step 2: Convert to fraction form
    1,427.08/2,140.24 = 646.80/x
  3. Step 3: Cross multiply
    1,427.08x = 2,140.24 × 646.80
  4. Step 4: Simplify right side
    1,427.08x = 1,384,307.23
  5. Step 5: Solve for x
    x = 1,384,307.23/1,427.08
  6. Step 6: Final answer
    x = 970.03

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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.