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Finding the Fourth Proportional to 783.47, 1,175.22 and 235.67

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Solution

The fourth proportional to 783.47, 1,175.22 and 235.67 is: 353.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.47 : 1,175.22 = 235.67 : x
  2. Step 2: Convert to fraction form
    783.47/1,175.22 = 235.67/x
  3. Step 3: Cross multiply
    783.47x = 1,175.22 × 235.67
  4. Step 4: Simplify right side
    783.47x = 276,964.10
  5. Step 5: Solve for x
    x = 276,964.10/783.47
  6. Step 6: Final answer
    x = 353.51

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.