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Finding the Fourth Proportional to 549.83, 762.66 and 530.13

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Solution

The fourth proportional to 549.83, 762.66 and 530.13 is: 735.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.83 : 762.66 = 530.13 : x
  2. Step 2: Convert to fraction form
    549.83/762.66 = 530.13/x
  3. Step 3: Cross multiply
    549.83x = 762.66 × 530.13
  4. Step 4: Simplify right side
    549.83x = 404,308.95
  5. Step 5: Solve for x
    x = 404,308.95/549.83
  6. Step 6: Final answer
    x = 735.33

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.