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Finding the Fourth Proportional to 1,449.98, 2,174.72 and 476.10

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Solution

The fourth proportional to 1,449.98, 2,174.72 and 476.10 is: 714.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,449.98 : 2,174.72 = 476.10 : x
  2. Step 2: Convert to fraction form
    1,449.98/2,174.72 = 476.10/x
  3. Step 3: Cross multiply
    1,449.98x = 2,174.72 × 476.10
  4. Step 4: Simplify right side
    1,449.98x = 1,035,384.19
  5. Step 5: Solve for x
    x = 1,035,384.19/1,449.98
  6. Step 6: Final answer
    x = 714.07

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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.