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Finding the Fourth Proportional to 805.32, 1,208.34 and 497.22

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Solution

The fourth proportional to 805.32, 1,208.34 and 497.22 is: 746.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    805.32 : 1,208.34 = 497.22 : x
  2. Step 2: Convert to fraction form
    805.32/1,208.34 = 497.22/x
  3. Step 3: Cross multiply
    805.32x = 1,208.34 × 497.22
  4. Step 4: Simplify right side
    805.32x = 600,810.81
  5. Step 5: Solve for x
    x = 600,810.81/805.32
  6. Step 6: Final answer
    x = 746.05

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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.