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Finding the Fourth Proportional to 804.10, 1,109.58 and 472.54

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Solution

The fourth proportional to 804.10, 1,109.58 and 472.54 is: 652.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    804.10 : 1,109.58 = 472.54 : x
  2. Step 2: Convert to fraction form
    804.10/1,109.58 = 472.54/x
  3. Step 3: Cross multiply
    804.10x = 1,109.58 × 472.54
  4. Step 4: Simplify right side
    804.10x = 524,320.93
  5. Step 5: Solve for x
    x = 524,320.93/804.10
  6. Step 6: Final answer
    x = 652.06

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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.