Home / 1,427.34-2,140.86-454.08

Finding the Fourth Proportional to 1,427.34, 2,140.86 and 454.08

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Solution

The fourth proportional to 1,427.34, 2,140.86 and 454.08 is: 681.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,427.34 : 2,140.86 = 454.08 : x
  2. Step 2: Convert to fraction form
    1,427.34/2,140.86 = 454.08/x
  3. Step 3: Cross multiply
    1,427.34x = 2,140.86 × 454.08
  4. Step 4: Simplify right side
    1,427.34x = 972,121.71
  5. Step 5: Solve for x
    x = 972,121.71/1,427.34
  6. Step 6: Final answer
    x = 681.07

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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.