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Finding the Fourth Proportional to 1,026.90, 1,538.33 and 955.62

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Solution

The fourth proportional to 1,026.90, 1,538.33 and 955.62 is: 1,431.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026.90 : 1,538.33 = 955.62 : x
  2. Step 2: Convert to fraction form
    1,026.90/1,538.33 = 955.62/x
  3. Step 3: Cross multiply
    1,026.90x = 1,538.33 × 955.62
  4. Step 4: Simplify right side
    1,026.90x = 1,470,054.14
  5. Step 5: Solve for x
    x = 1,470,054.14/1,026.90
  6. Step 6: Final answer
    x = 1,431.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.