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Finding the Fourth Proportional to 783.16, 1,174.80 and 206.03

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Solution

The fourth proportional to 783.16, 1,174.80 and 206.03 is: 309.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.16 : 1,174.80 = 206.03 : x
  2. Step 2: Convert to fraction form
    783.16/1,174.80 = 206.03/x
  3. Step 3: Cross multiply
    783.16x = 1,174.80 × 206.03
  4. Step 4: Simplify right side
    783.16x = 242,044.04
  5. Step 5: Solve for x
    x = 242,044.04/783.16
  6. Step 6: Final answer
    x = 309.06

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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.