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Finding the Fourth Proportional to 1,355.14, 1,870.09 and 734.14

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Solution

The fourth proportional to 1,355.14, 1,870.09 and 734.14 is: 1,013.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.14 : 1,870.09 = 734.14 : x
  2. Step 2: Convert to fraction form
    1,355.14/1,870.09 = 734.14/x
  3. Step 3: Cross multiply
    1,355.14x = 1,870.09 × 734.14
  4. Step 4: Simplify right side
    1,355.14x = 1,372,907.87
  5. Step 5: Solve for x
    x = 1,372,907.87/1,355.14
  6. Step 6: Final answer
    x = 1,013.11

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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.