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Finding the Fourth Proportional to 804.42, 1,110.15 and 468.42

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Solution

The fourth proportional to 804.42, 1,110.15 and 468.42 is: 646.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.42 : 1,110.15 = 468.42 : x
  2. Step 2: Convert to fraction form
    804.42/1,110.15 = 468.42/x
  3. Step 3: Cross multiply
    804.42x = 1,110.15 × 468.42
  4. Step 4: Simplify right side
    804.42x = 520,014.12
  5. Step 5: Solve for x
    x = 520,014.12/804.42
  6. Step 6: Final answer
    x = 646.45

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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.