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Finding the Fourth Proportional to 802.29, 1,107.03 and 537.35

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Solution

The fourth proportional to 802.29, 1,107.03 and 537.35 is: 741.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.29 : 1,107.03 = 537.35 : x
  2. Step 2: Convert to fraction form
    802.29/1,107.03 = 537.35/x
  3. Step 3: Cross multiply
    802.29x = 1,107.03 × 537.35
  4. Step 4: Simplify right side
    802.29x = 594,862.57
  5. Step 5: Solve for x
    x = 594,862.57/802.29
  6. Step 6: Final answer
    x = 741.46

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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.