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Finding the Fourth Proportional to 1,030.32, 1,421.16 and 636.93

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Solution

The fourth proportional to 1,030.32, 1,421.16 and 636.93 is: 878.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.32 : 1,421.16 = 636.93 : x
  2. Step 2: Convert to fraction form
    1,030.32/1,421.16 = 636.93/x
  3. Step 3: Cross multiply
    1,030.32x = 1,421.16 × 636.93
  4. Step 4: Simplify right side
    1,030.32x = 905,179.44
  5. Step 5: Solve for x
    x = 905,179.44/1,030.32
  6. Step 6: Final answer
    x = 878.54

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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.