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Finding the Fourth Proportional to 734.07, 1,094.97 and 656.31

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Solution

The fourth proportional to 734.07, 1,094.97 and 656.31 is: 978.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    734.07 : 1,094.97 = 656.31 : x
  2. Step 2: Convert to fraction form
    734.07/1,094.97 = 656.31/x
  3. Step 3: Cross multiply
    734.07x = 1,094.97 × 656.31
  4. Step 4: Simplify right side
    734.07x = 718,639.76
  5. Step 5: Solve for x
    x = 718,639.76/734.07
  6. Step 6: Final answer
    x = 978.98

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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.