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Finding the Fourth Proportional to 1,523.18, 2,285.04 and 549.16

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Solution

The fourth proportional to 1,523.18, 2,285.04 and 549.16 is: 823.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,523.18 : 2,285.04 = 549.16 : x
  2. Step 2: Convert to fraction form
    1,523.18/2,285.04 = 549.16/x
  3. Step 3: Cross multiply
    1,523.18x = 2,285.04 × 549.16
  4. Step 4: Simplify right side
    1,523.18x = 1,254,848.91
  5. Step 5: Solve for x
    x = 1,254,848.91/1,523.18
  6. Step 6: Final answer
    x = 823.83

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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.