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Finding the Fourth Proportional to 1,203.25, 1,802.26 and 585.66

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Solution

The fourth proportional to 1,203.25, 1,802.26 and 585.66 is: 877.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,203.25 : 1,802.26 = 585.66 : x
  2. Step 2: Convert to fraction form
    1,203.25/1,802.26 = 585.66/x
  3. Step 3: Cross multiply
    1,203.25x = 1,802.26 × 585.66
  4. Step 4: Simplify right side
    1,203.25x = 1,055,502.58
  5. Step 5: Solve for x
    x = 1,055,502.58/1,203.25
  6. Step 6: Final answer
    x = 877.21

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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.