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Finding the Fourth Proportional to 1,200.90, 1,802.14 and 585.02

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Solution

The fourth proportional to 1,200.90, 1,802.14 and 585.02 is: 877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,200.90 : 1,802.14 = 585.02 : x
  2. Step 2: Convert to fraction form
    1,200.90/1,802.14 = 585.02/x
  3. Step 3: Cross multiply
    1,200.90x = 1,802.14 × 585.02
  4. Step 4: Simplify right side
    1,200.90x = 1,054,287.94
  5. Step 5: Solve for x
    x = 1,054,287.94/1,200.90
  6. Step 6: Final answer
    x = 877.91

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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.