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Finding the Fourth Proportional to 802.29, 1,106.90 and 448.15

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Solution

The fourth proportional to 802.29, 1,106.90 and 448.15 is: 618.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.29 : 1,106.90 = 448.15 : x
  2. Step 2: Convert to fraction form
    802.29/1,106.90 = 448.15/x
  3. Step 3: Cross multiply
    802.29x = 1,106.90 × 448.15
  4. Step 4: Simplify right side
    802.29x = 496,054.99
  5. Step 5: Solve for x
    x = 496,054.99/802.29
  6. Step 6: Final answer
    x = 618.30

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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.