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Finding the Fourth Proportional to 734.72, 1,014.12 and 420.15

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Solution

The fourth proportional to 734.72, 1,014.12 and 420.15 is: 579.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.72 : 1,014.12 = 420.15 : x
  2. Step 2: Convert to fraction form
    734.72/1,014.12 = 420.15/x
  3. Step 3: Cross multiply
    734.72x = 1,014.12 × 420.15
  4. Step 4: Simplify right side
    734.72x = 426,082.52
  5. Step 5: Solve for x
    x = 426,082.52/734.72
  6. Step 6: Final answer
    x = 579.93

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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.