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Finding the Fourth Proportional to 1,781.07, 2,671.70 and 549.32

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Solution

The fourth proportional to 1,781.07, 2,671.70 and 549.32 is: 824.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,781.07 : 2,671.70 = 549.32 : x
  2. Step 2: Convert to fraction form
    1,781.07/2,671.70 = 549.32/x
  3. Step 3: Cross multiply
    1,781.07x = 2,671.70 × 549.32
  4. Step 4: Simplify right side
    1,781.07x = 1,467,622.18
  5. Step 5: Solve for x
    x = 1,467,622.18/1,781.07
  6. Step 6: Final answer
    x = 824.01

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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.