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Finding the Fourth Proportional to 696.78, 1,050.39 and 600.03

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Solution

The fourth proportional to 696.78, 1,050.39 and 600.03 is: 904.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    696.78 : 1,050.39 = 600.03 : x
  2. Step 2: Convert to fraction form
    696.78/1,050.39 = 600.03/x
  3. Step 3: Cross multiply
    696.78x = 1,050.39 × 600.03
  4. Step 4: Simplify right side
    696.78x = 630,265.51
  5. Step 5: Solve for x
    x = 630,265.51/696.78
  6. Step 6: Final answer
    x = 904.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.