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Finding the Fourth Proportional to 734.51, 1,013.56 and 419.75

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Solution

The fourth proportional to 734.51, 1,013.56 and 419.75 is: 579.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.51 : 1,013.56 = 419.75 : x
  2. Step 2: Convert to fraction form
    734.51/1,013.56 = 419.75/x
  3. Step 3: Cross multiply
    734.51x = 1,013.56 × 419.75
  4. Step 4: Simplify right side
    734.51x = 425,443.29
  5. Step 5: Solve for x
    x = 425,443.29/734.51
  6. Step 6: Final answer
    x = 579.22

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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.