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Finding the Fourth Proportional to 1,428.77, 2,143.34 and 454.95

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Solution

The fourth proportional to 1,428.77, 2,143.34 and 454.95 is: 682.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,428.77 : 2,143.34 = 454.95 : x
  2. Step 2: Convert to fraction form
    1,428.77/2,143.34 = 454.95/x
  3. Step 3: Cross multiply
    1,428.77x = 2,143.34 × 454.95
  4. Step 4: Simplify right side
    1,428.77x = 975,110.26
  5. Step 5: Solve for x
    x = 975,110.26/1,428.77
  6. Step 6: Final answer
    x = 682.48

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1.5x scale

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.