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Finding the Fourth Proportional to 734.66, 1,013.77 and 419.82

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Solution

The fourth proportional to 734.66, 1,013.77 and 419.82 is: 579.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.66 : 1,013.77 = 419.82 : x
  2. Step 2: Convert to fraction form
    734.66/1,013.77 = 419.82/x
  3. Step 3: Cross multiply
    734.66x = 1,013.77 × 419.82
  4. Step 4: Simplify right side
    734.66x = 425,599.56
  5. Step 5: Solve for x
    x = 425,599.56/734.66
  6. Step 6: Final answer
    x = 579.32

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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.