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Finding the Fourth Proportional to 852.40, 1,176.41 and 617.10

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Solution

The fourth proportional to 852.40, 1,176.41 and 617.10 is: 851.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    852.40 : 1,176.41 = 617.10 : x
  2. Step 2: Convert to fraction form
    852.40/1,176.41 = 617.10/x
  3. Step 3: Cross multiply
    852.40x = 1,176.41 × 617.10
  4. Step 4: Simplify right side
    852.40x = 725,962.61
  5. Step 5: Solve for x
    x = 725,962.61/852.40
  6. Step 6: Final answer
    x = 851.67

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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.