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Finding the Fourth Proportional to 556.68, 828.99 and 533.01

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Solution

The fourth proportional to 556.68, 828.99 and 533.01 is: 793.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.68 : 828.99 = 533.01 : x
  2. Step 2: Convert to fraction form
    556.68/828.99 = 533.01/x
  3. Step 3: Cross multiply
    556.68x = 828.99 × 533.01
  4. Step 4: Simplify right side
    556.68x = 441,859.96
  5. Step 5: Solve for x
    x = 441,859.96/556.68
  6. Step 6: Final answer
    x = 793.74

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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.