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Finding the Fourth Proportional to 1,030.45, 1,538.19 and 954.31

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Solution

The fourth proportional to 1,030.45, 1,538.19 and 954.31 is: 1,424.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,030.45 : 1,538.19 = 954.31 : x
  2. Step 2: Convert to fraction form
    1,030.45/1,538.19 = 954.31/x
  3. Step 3: Cross multiply
    1,030.45x = 1,538.19 × 954.31
  4. Step 4: Simplify right side
    1,030.45x = 1,467,910.10
  5. Step 5: Solve for x
    x = 1,467,910.10/1,030.45
  6. Step 6: Final answer
    x = 1,424.53

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.