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Finding the Fourth Proportional to 734.07, 1,106.13 and 606.90

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Solution

The fourth proportional to 734.07, 1,106.13 and 606.90 is: 914.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.07 : 1,106.13 = 606.90 : x
  2. Step 2: Convert to fraction form
    734.07/1,106.13 = 606.90/x
  3. Step 3: Cross multiply
    734.07x = 1,106.13 × 606.90
  4. Step 4: Simplify right side
    734.07x = 671,310.30
  5. Step 5: Solve for x
    x = 671,310.30/734.07
  6. Step 6: Final answer
    x = 914.50

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.