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Finding the Fourth Proportional to 547.58, 817.08 and 535.16

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Solution

The fourth proportional to 547.58, 817.08 and 535.16 is: 798.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    547.58 : 817.08 = 535.16 : x
  2. Step 2: Convert to fraction form
    547.58/817.08 = 535.16/x
  3. Step 3: Cross multiply
    547.58x = 817.08 × 535.16
  4. Step 4: Simplify right side
    547.58x = 437,268.53
  5. Step 5: Solve for x
    x = 437,268.53/547.58
  6. Step 6: Final answer
    x = 798.55

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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.