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Finding the Fourth Proportional to 491.16, 739.42 and 448.10

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Solution

The fourth proportional to 491.16, 739.42 and 448.10 is: 674.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.16 : 739.42 = 448.10 : x
  2. Step 2: Convert to fraction form
    491.16/739.42 = 448.10/x
  3. Step 3: Cross multiply
    491.16x = 739.42 × 448.10
  4. Step 4: Simplify right side
    491.16x = 331,334.10
  5. Step 5: Solve for x
    x = 331,334.10/491.16
  6. Step 6: Final answer
    x = 674.60

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.