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Finding the Fourth Proportional to 734.94, 1,014.23 and 420.18

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Solution

The fourth proportional to 734.94, 1,014.23 and 420.18 is: 579.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.94 : 1,014.23 = 420.18 : x
  2. Step 2: Convert to fraction form
    734.94/1,014.23 = 420.18/x
  3. Step 3: Cross multiply
    734.94x = 1,014.23 × 420.18
  4. Step 4: Simplify right side
    734.94x = 426,159.16
  5. Step 5: Solve for x
    x = 426,159.16/734.94
  6. Step 6: Final answer
    x = 579.86

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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.