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Finding the Fourth Proportional to 783.65, 1,175.09 and 296.60

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Solution

The fourth proportional to 783.65, 1,175.09 and 296.60 is: 444.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.65 : 1,175.09 = 296.60 : x
  2. Step 2: Convert to fraction form
    783.65/1,175.09 = 296.60/x
  3. Step 3: Cross multiply
    783.65x = 1,175.09 × 296.60
  4. Step 4: Simplify right side
    783.65x = 348,524.34
  5. Step 5: Solve for x
    x = 348,524.34/783.65
  6. Step 6: Final answer
    x = 444.74

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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.