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Finding the Fourth Proportional to 556.35, 829.25 and 552.30

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Solution

The fourth proportional to 556.35, 829.25 and 552.30 is: 823.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.35 : 829.25 = 552.30 : x
  2. Step 2: Convert to fraction form
    556.35/829.25 = 552.30/x
  3. Step 3: Cross multiply
    556.35x = 829.25 × 552.30
  4. Step 4: Simplify right side
    556.35x = 457,992.01
  5. Step 5: Solve for x
    x = 457,992.01/556.35
  6. Step 6: Final answer
    x = 823.21

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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.