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Finding the Fourth Proportional to 1,480.42, 2,220.38 and 384.76

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Solution

The fourth proportional to 1,480.42, 2,220.38 and 384.76 is: 577.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,480.42 : 2,220.38 = 384.76 : x
  2. Step 2: Convert to fraction form
    1,480.42/2,220.38 = 384.76/x
  3. Step 3: Cross multiply
    1,480.42x = 2,220.38 × 384.76
  4. Step 4: Simplify right side
    1,480.42x = 854,313.41
  5. Step 5: Solve for x
    x = 854,313.41/1,480.42
  6. Step 6: Final answer
    x = 577.08

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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.