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Finding the Fourth Proportional to 808.10, 1,114.83 and 493.23

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Solution

The fourth proportional to 808.10, 1,114.83 and 493.23 is: 680.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    808.10 : 1,114.83 = 493.23 : x
  2. Step 2: Convert to fraction form
    808.10/1,114.83 = 493.23/x
  3. Step 3: Cross multiply
    808.10x = 1,114.83 × 493.23
  4. Step 4: Simplify right side
    808.10x = 549,867.60
  5. Step 5: Solve for x
    x = 549,867.60/808.10
  6. Step 6: Final answer
    x = 680.45

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.