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Finding the Fourth Proportional to 547.26, 822.68 and 507.16

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Solution

The fourth proportional to 547.26, 822.68 and 507.16 is: 762.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.26 : 822.68 = 507.16 : x
  2. Step 2: Convert to fraction form
    547.26/822.68 = 507.16/x
  3. Step 3: Cross multiply
    547.26x = 822.68 × 507.16
  4. Step 4: Simplify right side
    547.26x = 417,230.39
  5. Step 5: Solve for x
    x = 417,230.39/547.26
  6. Step 6: Final answer
    x = 762.40

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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.