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Finding the Fourth Proportional to 1,055.49, 1,590.09 and 965.28

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Solution

The fourth proportional to 1,055.49, 1,590.09 and 965.28 is: 1,454.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,055.49 : 1,590.09 = 965.28 : x
  2. Step 2: Convert to fraction form
    1,055.49/1,590.09 = 965.28/x
  3. Step 3: Cross multiply
    1,055.49x = 1,590.09 × 965.28
  4. Step 4: Simplify right side
    1,055.49x = 1,534,882.08
  5. Step 5: Solve for x
    x = 1,534,882.08/1,055.49
  6. Step 6: Final answer
    x = 1,454.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.