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Finding the Fourth Proportional to 1,802.10, 2,702.07 and 705.17

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Solution

The fourth proportional to 1,802.10, 2,702.07 and 705.17 is: 1,057.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,802.10 : 2,702.07 = 705.17 : x
  2. Step 2: Convert to fraction form
    1,802.10/2,702.07 = 705.17/x
  3. Step 3: Cross multiply
    1,802.10x = 2,702.07 × 705.17
  4. Step 4: Simplify right side
    1,802.10x = 1,905,405.19
  5. Step 5: Solve for x
    x = 1,905,405.19/1,802.10
  6. Step 6: Final answer
    x = 1,057.32

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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.