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Finding the Fourth Proportional to 563.82, 839.93 and 549.51

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Solution

The fourth proportional to 563.82, 839.93 and 549.51 is: 818.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    563.82 : 839.93 = 549.51 : x
  2. Step 2: Convert to fraction form
    563.82/839.93 = 549.51/x
  3. Step 3: Cross multiply
    563.82x = 839.93 × 549.51
  4. Step 4: Simplify right side
    563.82x = 461,549.93
  5. Step 5: Solve for x
    x = 461,549.93/563.82
  6. Step 6: Final answer
    x = 818.61

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.