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Finding the Fourth Proportional to 549.22, 820.61 and 530.08

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Solution

The fourth proportional to 549.22, 820.61 and 530.08 is: 792.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    549.22 : 820.61 = 530.08 : x
  2. Step 2: Convert to fraction form
    549.22/820.61 = 530.08/x
  3. Step 3: Cross multiply
    549.22x = 820.61 × 530.08
  4. Step 4: Simplify right side
    549.22x = 434,984.25
  5. Step 5: Solve for x
    x = 434,984.25/549.22
  6. Step 6: Final answer
    x = 792.01

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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.