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Finding the Fourth Proportional to 485.69, 666.99 and 415.74

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Solution

The fourth proportional to 485.69, 666.99 and 415.74 is: 570.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    485.69 : 666.99 = 415.74 : x
  2. Step 2: Convert to fraction form
    485.69/666.99 = 415.74/x
  3. Step 3: Cross multiply
    485.69x = 666.99 × 415.74
  4. Step 4: Simplify right side
    485.69x = 277,296.92
  5. Step 5: Solve for x
    x = 277,296.92/485.69
  6. Step 6: Final answer
    x = 570.94

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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.