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Finding the Fourth Proportional to 808.06, 1,212.10 and 646.77

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Solution

The fourth proportional to 808.06, 1,212.10 and 646.77 is: 970.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.06 : 1,212.10 = 646.77 : x
  2. Step 2: Convert to fraction form
    808.06/1,212.10 = 646.77/x
  3. Step 3: Cross multiply
    808.06x = 1,212.10 × 646.77
  4. Step 4: Simplify right side
    808.06x = 783,954.21
  5. Step 5: Solve for x
    x = 783,954.21/808.06
  6. Step 6: Final answer
    x = 970.16

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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.