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Finding the Fourth Proportional to 807.57, 1,205.15 and 802.95

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Solution

The fourth proportional to 807.57, 1,205.15 and 802.95 is: 1,198.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    807.57 : 1,205.15 = 802.95 : x
  2. Step 2: Convert to fraction form
    807.57/1,205.15 = 802.95/x
  3. Step 3: Cross multiply
    807.57x = 1,205.15 × 802.95
  4. Step 4: Simplify right side
    807.57x = 967,671.18
  5. Step 5: Solve for x
    x = 967,671.18/807.57
  6. Step 6: Final answer
    x = 1,198.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.