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Finding the Fourth Proportional to 407.70, 558.63 and 404.46

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Solution

The fourth proportional to 407.70, 558.63 and 404.46 is: 554.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    407.70 : 558.63 = 404.46 : x
  2. Step 2: Convert to fraction form
    407.70/558.63 = 404.46/x
  3. Step 3: Cross multiply
    407.70x = 558.63 × 404.46
  4. Step 4: Simplify right side
    407.70x = 225,943.49
  5. Step 5: Solve for x
    x = 225,943.49/407.70
  6. Step 6: Final answer
    x = 554.19

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.