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Finding the Fourth Proportional to 556.12, 830.19 and 483.22

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Solution

The fourth proportional to 556.12, 830.19 and 483.22 is: 721.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.12 : 830.19 = 483.22 : x
  2. Step 2: Convert to fraction form
    556.12/830.19 = 483.22/x
  3. Step 3: Cross multiply
    556.12x = 830.19 × 483.22
  4. Step 4: Simplify right side
    556.12x = 401,164.41
  5. Step 5: Solve for x
    x = 401,164.41/556.12
  6. Step 6: Final answer
    x = 721.36

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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.