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Finding the Fourth Proportional to 808.96, 1,210.68 and 500.68

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Solution

The fourth proportional to 808.96, 1,210.68 and 500.68 is: 749.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.96 : 1,210.68 = 500.68 : x
  2. Step 2: Convert to fraction form
    808.96/1,210.68 = 500.68/x
  3. Step 3: Cross multiply
    808.96x = 1,210.68 × 500.68
  4. Step 4: Simplify right side
    808.96x = 606,163.26
  5. Step 5: Solve for x
    x = 606,163.26/808.96
  6. Step 6: Final answer
    x = 749.31

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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.