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Finding the Fourth Proportional to 740.14, 1,020.78 and 722.32

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Solution

The fourth proportional to 740.14, 1,020.78 and 722.32 is: 996.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.14 : 1,020.78 = 722.32 : x
  2. Step 2: Convert to fraction form
    740.14/1,020.78 = 722.32/x
  3. Step 3: Cross multiply
    740.14x = 1,020.78 × 722.32
  4. Step 4: Simplify right side
    740.14x = 737,329.81
  5. Step 5: Solve for x
    x = 737,329.81/740.14
  6. Step 6: Final answer
    x = 996.20

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1.5x scale

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.