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Finding the Fourth Proportional to 802.15, 1,201.05 and 416.59

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Solution

The fourth proportional to 802.15, 1,201.05 and 416.59 is: 623.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    802.15 : 1,201.05 = 416.59 : x
  2. Step 2: Convert to fraction form
    802.15/1,201.05 = 416.59/x
  3. Step 3: Cross multiply
    802.15x = 1,201.05 × 416.59
  4. Step 4: Simplify right side
    802.15x = 500,337.33
  5. Step 5: Solve for x
    x = 500,337.33/802.15
  6. Step 6: Final answer
    x = 623.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.