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Finding the Fourth Proportional to 449.37, 670.27 and 435.70

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Solution

The fourth proportional to 449.37, 670.27 and 435.70 is: 649.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.37 : 670.27 = 435.70 : x
  2. Step 2: Convert to fraction form
    449.37/670.27 = 435.70/x
  3. Step 3: Cross multiply
    449.37x = 670.27 × 435.70
  4. Step 4: Simplify right side
    449.37x = 292,036.64
  5. Step 5: Solve for x
    x = 292,036.64/449.37
  6. Step 6: Final answer
    x = 649.88

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.