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Finding the Fourth Proportional to 1,422.06, 2,134.06 and 497.63

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Solution

The fourth proportional to 1,422.06, 2,134.06 and 497.63 is: 746.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.06 : 2,134.06 = 497.63 : x
  2. Step 2: Convert to fraction form
    1,422.06/2,134.06 = 497.63/x
  3. Step 3: Cross multiply
    1,422.06x = 2,134.06 × 497.63
  4. Step 4: Simplify right side
    1,422.06x = 1,061,968.76
  5. Step 5: Solve for x
    x = 1,061,968.76/1,422.06
  6. Step 6: Final answer
    x = 746.78

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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.