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Finding the Fourth Proportional to 830.06, 1,245.54 and 556.38

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Solution

The fourth proportional to 830.06, 1,245.54 and 556.38 is: 834.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    830.06 : 1,245.54 = 556.38 : x
  2. Step 2: Convert to fraction form
    830.06/1,245.54 = 556.38/x
  3. Step 3: Cross multiply
    830.06x = 1,245.54 × 556.38
  4. Step 4: Simplify right side
    830.06x = 692,995.63
  5. Step 5: Solve for x
    x = 692,995.63/830.06
  6. Step 6: Final answer
    x = 834.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.