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Finding the Fourth Proportional to 804.80, 1,110.31 and 472.70

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Solution

The fourth proportional to 804.80, 1,110.31 and 472.70 is: 652.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.80 : 1,110.31 = 472.70 : x
  2. Step 2: Convert to fraction form
    804.80/1,110.31 = 472.70/x
  3. Step 3: Cross multiply
    804.80x = 1,110.31 × 472.70
  4. Step 4: Simplify right side
    804.80x = 524,845.13
  5. Step 5: Solve for x
    x = 524,845.13/804.80
  6. Step 6: Final answer
    x = 652.14

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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.