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Finding the Fourth Proportional to 734.83, 1,013.98 and 420.17

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Solution

The fourth proportional to 734.83, 1,013.98 and 420.17 is: 579.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.83 : 1,013.98 = 420.17 : x
  2. Step 2: Convert to fraction form
    734.83/1,013.98 = 420.17/x
  3. Step 3: Cross multiply
    734.83x = 1,013.98 × 420.17
  4. Step 4: Simplify right side
    734.83x = 426,043.98
  5. Step 5: Solve for x
    x = 426,043.98/734.83
  6. Step 6: Final answer
    x = 579.79

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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.