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Finding the Fourth Proportional to 1,300.03, 1,794.08 and 802.69

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Solution

The fourth proportional to 1,300.03, 1,794.08 and 802.69 is: 1,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.03 : 1,794.08 = 802.69 : x
  2. Step 2: Convert to fraction form
    1,300.03/1,794.08 = 802.69/x
  3. Step 3: Cross multiply
    1,300.03x = 1,794.08 × 802.69
  4. Step 4: Simplify right side
    1,300.03x = 1,440,090.08
  5. Step 5: Solve for x
    x = 1,440,090.08/1,300.03
  6. Step 6: Final answer
    x = 1,107.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.