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Finding the Fourth Proportional to 740.03, 1,022.53 and 713.75

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Solution

The fourth proportional to 740.03, 1,022.53 and 713.75 is: 986.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    740.03 : 1,022.53 = 713.75 : x
  2. Step 2: Convert to fraction form
    740.03/1,022.53 = 713.75/x
  3. Step 3: Cross multiply
    740.03x = 1,022.53 × 713.75
  4. Step 4: Simplify right side
    740.03x = 729,830.79
  5. Step 5: Solve for x
    x = 729,830.79/740.03
  6. Step 6: Final answer
    x = 986.22

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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.