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Finding the Fourth Proportional to 1,387.00, 2,080.70 and 802.31

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Solution

The fourth proportional to 1,387.00, 2,080.70 and 802.31 is: 1,203.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,387.00 : 2,080.70 = 802.31 : x
  2. Step 2: Convert to fraction form
    1,387.00/2,080.70 = 802.31/x
  3. Step 3: Cross multiply
    1,387.00x = 2,080.70 × 802.31
  4. Step 4: Simplify right side
    1,387.00x = 1,669,373.62
  5. Step 5: Solve for x
    x = 1,669,373.62/1,387.00
  6. Step 6: Final answer
    x = 1,203.59

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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.