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Finding the Fourth Proportional to 828.24, 1,143.23 and 533.51

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Solution

The fourth proportional to 828.24, 1,143.23 and 533.51 is: 736.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.24 : 1,143.23 = 533.51 : x
  2. Step 2: Convert to fraction form
    828.24/1,143.23 = 533.51/x
  3. Step 3: Cross multiply
    828.24x = 1,143.23 × 533.51
  4. Step 4: Simplify right side
    828.24x = 609,924.64
  5. Step 5: Solve for x
    x = 609,924.64/828.24
  6. Step 6: Final answer
    x = 736.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.