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Finding the Fourth Proportional to 734.95, 1,014.21 and 420.23

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Solution

The fourth proportional to 734.95, 1,014.21 and 420.23 is: 579.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.95 : 1,014.21 = 420.23 : x
  2. Step 2: Convert to fraction form
    734.95/1,014.21 = 420.23/x
  3. Step 3: Cross multiply
    734.95x = 1,014.21 × 420.23
  4. Step 4: Simplify right side
    734.95x = 426,201.47
  5. Step 5: Solve for x
    x = 426,201.47/734.95
  6. Step 6: Final answer
    x = 579.91

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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.