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Finding the Fourth Proportional to 1,113.88, 1,671.15 and 802.23

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Solution

The fourth proportional to 1,113.88, 1,671.15 and 802.23 is: 1,203.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113.88 : 1,671.15 = 802.23 : x
  2. Step 2: Convert to fraction form
    1,113.88/1,671.15 = 802.23/x
  3. Step 3: Cross multiply
    1,113.88x = 1,671.15 × 802.23
  4. Step 4: Simplify right side
    1,113.88x = 1,340,646.66
  5. Step 5: Solve for x
    x = 1,340,646.66/1,113.88
  6. Step 6: Final answer
    x = 1,203.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.