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Finding the Fourth Proportional to 802.48, 1,107.16 and 540.64

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Solution

The fourth proportional to 802.48, 1,107.16 and 540.64 is: 745.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.48 : 1,107.16 = 540.64 : x
  2. Step 2: Convert to fraction form
    802.48/1,107.16 = 540.64/x
  3. Step 3: Cross multiply
    802.48x = 1,107.16 × 540.64
  4. Step 4: Simplify right side
    802.48x = 598,574.98
  5. Step 5: Solve for x
    x = 598,574.98/802.48
  6. Step 6: Final answer
    x = 745.91

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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.