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Finding the Fourth Proportional to 852.32, 1,176.21 and 474.21

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Solution

The fourth proportional to 852.32, 1,176.21 and 474.21 is: 654.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.32 : 1,176.21 = 474.21 : x
  2. Step 2: Convert to fraction form
    852.32/1,176.21 = 474.21/x
  3. Step 3: Cross multiply
    852.32x = 1,176.21 × 474.21
  4. Step 4: Simplify right side
    852.32x = 557,768.17
  5. Step 5: Solve for x
    x = 557,768.17/852.32
  6. Step 6: Final answer
    x = 654.42

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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.