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Finding the Fourth Proportional to 1,300.25, 1,793.61 and 802.00

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Solution

The fourth proportional to 1,300.25, 1,793.61 and 802.00 is: 1,106.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300.25 : 1,793.61 = 802.00 : x
  2. Step 2: Convert to fraction form
    1,300.25/1,793.61 = 802.00/x
  3. Step 3: Cross multiply
    1,300.25x = 1,793.61 × 802.00
  4. Step 4: Simplify right side
    1,300.25x = 1,438,477.46
  5. Step 5: Solve for x
    x = 1,438,477.46/1,300.25
  6. Step 6: Final answer
    x = 1,106.31

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