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Finding the Fourth Proportional to 804.31, 1,109.96 and 472.75

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Solution

The fourth proportional to 804.31, 1,109.96 and 472.75 is: 652.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.31 : 1,109.96 = 472.75 : x
  2. Step 2: Convert to fraction form
    804.31/1,109.96 = 472.75/x
  3. Step 3: Cross multiply
    804.31x = 1,109.96 × 472.75
  4. Step 4: Simplify right side
    804.31x = 524,730.22
  5. Step 5: Solve for x
    x = 524,730.22/804.31
  6. Step 6: Final answer
    x = 652.40

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Double scale
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1.5x scale

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.