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Finding the Fourth Proportional to 1,473.63, 2,210.10 and 549.28

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Solution

The fourth proportional to 1,473.63, 2,210.10 and 549.28 is: 823.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.63 : 2,210.10 = 549.28 : x
  2. Step 2: Convert to fraction form
    1,473.63/2,210.10 = 549.28/x
  3. Step 3: Cross multiply
    1,473.63x = 2,210.10 × 549.28
  4. Step 4: Simplify right side
    1,473.63x = 1,213,963.73
  5. Step 5: Solve for x
    x = 1,213,963.73/1,473.63
  6. Step 6: Final answer
    x = 823.79

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Why These Related Problems?

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