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Finding the Fourth Proportional to 849.56, 1,174.70 and 740.21

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Solution

The fourth proportional to 849.56, 1,174.70 and 740.21 is: 1,023.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    849.56 : 1,174.70 = 740.21 : x
  2. Step 2: Convert to fraction form
    849.56/1,174.70 = 740.21/x
  3. Step 3: Cross multiply
    849.56x = 1,174.70 × 740.21
  4. Step 4: Simplify right side
    849.56x = 869,515.11
  5. Step 5: Solve for x
    x = 869,515.11/849.56
  6. Step 6: Final answer
    x = 1,023.49

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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.