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Finding the Fourth Proportional to 449.18, 670.76 and 388.46

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Solution

The fourth proportional to 449.18, 670.76 and 388.46 is: 580.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.18 : 670.76 = 388.46 : x
  2. Step 2: Convert to fraction form
    449.18/670.76 = 388.46/x
  3. Step 3: Cross multiply
    449.18x = 670.76 × 388.46
  4. Step 4: Simplify right side
    449.18x = 260,559.59
  5. Step 5: Solve for x
    x = 260,559.59/449.18
  6. Step 6: Final answer
    x = 580.08

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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.