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Finding the Fourth Proportional to 783.54, 1,175.51 and 296.60

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Solution

The fourth proportional to 783.54, 1,175.51 and 296.60 is: 444.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.54 : 1,175.51 = 296.60 : x
  2. Step 2: Convert to fraction form
    783.54/1,175.51 = 296.60/x
  3. Step 3: Cross multiply
    783.54x = 1,175.51 × 296.60
  4. Step 4: Simplify right side
    783.54x = 348,651.13
  5. Step 5: Solve for x
    x = 348,651.13/783.54
  6. Step 6: Final answer
    x = 444.97

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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.