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Finding the Fourth Proportional to 566.38, 781.59 and 549.82

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Solution

The fourth proportional to 566.38, 781.59 and 549.82 is: 758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    566.38 : 781.59 = 549.82 : x
  2. Step 2: Convert to fraction form
    566.38/781.59 = 549.82/x
  3. Step 3: Cross multiply
    566.38x = 781.59 × 549.82
  4. Step 4: Simplify right side
    566.38x = 429,733.81
  5. Step 5: Solve for x
    x = 429,733.81/566.38
  6. Step 6: Final answer
    x = 758.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.