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Finding the Fourth Proportional to 734.19, 1,013.21 and 419.50

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Solution

The fourth proportional to 734.19, 1,013.21 and 419.50 is: 578.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.19 : 1,013.21 = 419.50 : x
  2. Step 2: Convert to fraction form
    734.19/1,013.21 = 419.50/x
  3. Step 3: Cross multiply
    734.19x = 1,013.21 × 419.50
  4. Step 4: Simplify right side
    734.19x = 425,039.50
  5. Step 5: Solve for x
    x = 425,039.50/734.19
  6. Step 6: Final answer
    x = 578.93

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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.