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Finding the Fourth Proportional to 1,523.29, 2,284.12 and 782.61

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Solution

The fourth proportional to 1,523.29, 2,284.12 and 782.61 is: 1,173.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.29 : 2,284.12 = 782.61 : x
  2. Step 2: Convert to fraction form
    1,523.29/2,284.12 = 782.61/x
  3. Step 3: Cross multiply
    1,523.29x = 2,284.12 × 782.61
  4. Step 4: Simplify right side
    1,523.29x = 1,787,575.15
  5. Step 5: Solve for x
    x = 1,787,575.15/1,523.29
  6. Step 6: Final answer
    x = 1,173.50

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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.