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Finding the Fourth Proportional to 1,536.65, 2,305.08 and 549.66

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Solution

The fourth proportional to 1,536.65, 2,305.08 and 549.66 is: 824.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,536.65 : 2,305.08 = 549.66 : x
  2. Step 2: Convert to fraction form
    1,536.65/2,305.08 = 549.66/x
  3. Step 3: Cross multiply
    1,536.65x = 2,305.08 × 549.66
  4. Step 4: Simplify right side
    1,536.65x = 1,267,013.98
  5. Step 5: Solve for x
    x = 1,267,013.98/1,536.65
  6. Step 6: Final answer
    x = 824.53

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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.