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Finding the Fourth Proportional to 1,422.19, 2,133.08 and 497.68

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Solution

The fourth proportional to 1,422.19, 2,133.08 and 497.68 is: 746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,422.19 : 2,133.08 = 497.68 : x
  2. Step 2: Convert to fraction form
    1,422.19/2,133.08 = 497.68/x
  3. Step 3: Cross multiply
    1,422.19x = 2,133.08 × 497.68
  4. Step 4: Simplify right side
    1,422.19x = 1,061,588.77
  5. Step 5: Solve for x
    x = 1,061,588.77/1,422.19
  6. Step 6: Final answer
    x = 746.45

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.