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Finding the Fourth Proportional to 1,355.09, 1,870.01 and 734.09

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Solution

The fourth proportional to 1,355.09, 1,870.01 and 734.09 is: 1,013.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.09 : 1,870.01 = 734.09 : x
  2. Step 2: Convert to fraction form
    1,355.09/1,870.01 = 734.09/x
  3. Step 3: Cross multiply
    1,355.09x = 1,870.01 × 734.09
  4. Step 4: Simplify right side
    1,355.09x = 1,372,746.29
  5. Step 5: Solve for x
    x = 1,372,746.29/1,355.09
  6. Step 6: Final answer
    x = 1,013.03

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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.