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Finding the Fourth Proportional to 802.90, 1,106.28 and 540.46

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Solution

The fourth proportional to 802.90, 1,106.28 and 540.46 is: 744.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.90 : 1,106.28 = 540.46 : x
  2. Step 2: Convert to fraction form
    802.90/1,106.28 = 540.46/x
  3. Step 3: Cross multiply
    802.90x = 1,106.28 × 540.46
  4. Step 4: Simplify right side
    802.90x = 597,900.09
  5. Step 5: Solve for x
    x = 597,900.09/802.90
  6. Step 6: Final answer
    x = 744.68

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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.