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Finding the Fourth Proportional to 1,030.05, 1,422.50 and 736.86

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Solution

The fourth proportional to 1,030.05, 1,422.50 and 736.86 is: 1,017.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.05 : 1,422.50 = 736.86 : x
  2. Step 2: Convert to fraction form
    1,030.05/1,422.50 = 736.86/x
  3. Step 3: Cross multiply
    1,030.05x = 1,422.50 × 736.86
  4. Step 4: Simplify right side
    1,030.05x = 1,048,183.35
  5. Step 5: Solve for x
    x = 1,048,183.35/1,030.05
  6. Step 6: Final answer
    x = 1,017.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.