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Finding the Fourth Proportional to 1,475.84, 2,213.84 and 380.22

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Solution

The fourth proportional to 1,475.84, 2,213.84 and 380.22 is: 570.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,475.84 : 2,213.84 = 380.22 : x
  2. Step 2: Convert to fraction form
    1,475.84/2,213.84 = 380.22/x
  3. Step 3: Cross multiply
    1,475.84x = 2,213.84 × 380.22
  4. Step 4: Simplify right side
    1,475.84x = 841,746.24
  5. Step 5: Solve for x
    x = 841,746.24/1,475.84
  6. Step 6: Final answer
    x = 570.35

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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.