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Finding the Fourth Proportional to 1,355.84, 1,871.06 and 734.84

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Solution

The fourth proportional to 1,355.84, 1,871.06 and 734.84 is: 1,014.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355.84 : 1,871.06 = 734.84 : x
  2. Step 2: Convert to fraction form
    1,355.84/1,871.06 = 734.84/x
  3. Step 3: Cross multiply
    1,355.84x = 1,871.06 × 734.84
  4. Step 4: Simplify right side
    1,355.84x = 1,374,929.73
  5. Step 5: Solve for x
    x = 1,374,929.73/1,355.84
  6. Step 6: Final answer
    x = 1,014.08

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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.