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Finding the Fourth Proportional to 783.80, 1,175.71 and 296.90

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Solution

The fourth proportional to 783.80, 1,175.71 and 296.90 is: 445.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.80 : 1,175.71 = 296.90 : x
  2. Step 2: Convert to fraction form
    783.80/1,175.71 = 296.90/x
  3. Step 3: Cross multiply
    783.80x = 1,175.71 × 296.90
  4. Step 4: Simplify right side
    783.80x = 349,068.30
  5. Step 5: Solve for x
    x = 349,068.30/783.80
  6. Step 6: Final answer
    x = 445.35

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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.