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Finding the Fourth Proportional to 740.36, 1,019.74 and 687.20

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Solution

The fourth proportional to 740.36, 1,019.74 and 687.20 is: 946.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.36 : 1,019.74 = 687.20 : x
  2. Step 2: Convert to fraction form
    740.36/1,019.74 = 687.20/x
  3. Step 3: Cross multiply
    740.36x = 1,019.74 × 687.20
  4. Step 4: Simplify right side
    740.36x = 700,765.33
  5. Step 5: Solve for x
    x = 700,765.33/740.36
  6. Step 6: Final answer
    x = 946.52

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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.