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Finding the Fourth Proportional to 1,100.13, 1,518.70 and 702.22

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Solution

The fourth proportional to 1,100.13, 1,518.70 and 702.22 is: 969.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,100.13 : 1,518.70 = 702.22 : x
  2. Step 2: Convert to fraction form
    1,100.13/1,518.70 = 702.22/x
  3. Step 3: Cross multiply
    1,100.13x = 1,518.70 × 702.22
  4. Step 4: Simplify right side
    1,100.13x = 1,066,461.51
  5. Step 5: Solve for x
    x = 1,066,461.51/1,100.13
  6. Step 6: Final answer
    x = 969.40

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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.