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Finding the Fourth Proportional to 734.29, 1,013.26 and 419.51

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Solution

The fourth proportional to 734.29, 1,013.26 and 419.51 is: 578.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.29 : 1,013.26 = 419.51 : x
  2. Step 2: Convert to fraction form
    734.29/1,013.26 = 419.51/x
  3. Step 3: Cross multiply
    734.29x = 1,013.26 × 419.51
  4. Step 4: Simplify right side
    734.29x = 425,071.96
  5. Step 5: Solve for x
    x = 425,071.96/734.29
  6. Step 6: Final answer
    x = 578.89

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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.