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Finding the Fourth Proportional to 1,520.29, 2,097.88 and 856.99

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Solution

The fourth proportional to 1,520.29, 2,097.88 and 856.99 is: 1,182.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,520.29 : 2,097.88 = 856.99 : x
  2. Step 2: Convert to fraction form
    1,520.29/2,097.88 = 856.99/x
  3. Step 3: Cross multiply
    1,520.29x = 2,097.88 × 856.99
  4. Step 4: Simplify right side
    1,520.29x = 1,797,862.18
  5. Step 5: Solve for x
    x = 1,797,862.18/1,520.29
  6. Step 6: Final answer
    x = 1,182.58

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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.