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Finding the Fourth Proportional to 734.59, 1,097.93 and 641.30

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Solution

The fourth proportional to 734.59, 1,097.93 and 641.30 is: 958.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.59 : 1,097.93 = 641.30 : x
  2. Step 2: Convert to fraction form
    734.59/1,097.93 = 641.30/x
  3. Step 3: Cross multiply
    734.59x = 1,097.93 × 641.30
  4. Step 4: Simplify right side
    734.59x = 704,102.51
  5. Step 5: Solve for x
    x = 704,102.51/734.59
  6. Step 6: Final answer
    x = 958.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.