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Finding the Fourth Proportional to 783.05, 1,174.53 and 235.22

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Solution

The fourth proportional to 783.05, 1,174.53 and 235.22 is: 352.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.05 : 1,174.53 = 235.22 : x
  2. Step 2: Convert to fraction form
    783.05/1,174.53 = 235.22/x
  3. Step 3: Cross multiply
    783.05x = 1,174.53 × 235.22
  4. Step 4: Simplify right side
    783.05x = 276,272.95
  5. Step 5: Solve for x
    x = 276,272.95/783.05
  6. Step 6: Final answer
    x = 352.82

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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.