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Finding the Fourth Proportional to 551.64, 820.95 and 533.64

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Solution

The fourth proportional to 551.64, 820.95 and 533.64 is: 794.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    551.64 : 820.95 = 533.64 : x
  2. Step 2: Convert to fraction form
    551.64/820.95 = 533.64/x
  3. Step 3: Cross multiply
    551.64x = 820.95 × 533.64
  4. Step 4: Simplify right side
    551.64x = 438,091.76
  5. Step 5: Solve for x
    x = 438,091.76/551.64
  6. Step 6: Final answer
    x = 794.16

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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.