Home / 1,030.33-1,421.06-912.43

Finding the Fourth Proportional to 1,030.33, 1,421.06 and 912.43

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Solution

The fourth proportional to 1,030.33, 1,421.06 and 912.43 is: 1,258.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.33 : 1,421.06 = 912.43 : x
  2. Step 2: Convert to fraction form
    1,030.33/1,421.06 = 912.43/x
  3. Step 3: Cross multiply
    1,030.33x = 1,421.06 × 912.43
  4. Step 4: Simplify right side
    1,030.33x = 1,296,613.21
  5. Step 5: Solve for x
    x = 1,296,613.21/1,030.33
  6. Step 6: Final answer
    x = 1,258.44

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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.