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Finding the Fourth Proportional to 929.12, 1,283.94 and 734.18

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Solution

The fourth proportional to 929.12, 1,283.94 and 734.18 is: 1,014.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    929.12 : 1,283.94 = 734.18 : x
  2. Step 2: Convert to fraction form
    929.12/1,283.94 = 734.18/x
  3. Step 3: Cross multiply
    929.12x = 1,283.94 × 734.18
  4. Step 4: Simplify right side
    929.12x = 942,636.65
  5. Step 5: Solve for x
    x = 942,636.65/929.12
  6. Step 6: Final answer
    x = 1,014.55

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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.