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Finding the Fourth Proportional to 783.72, 1,178.12 and 631.34

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Solution

The fourth proportional to 783.72, 1,178.12 and 631.34 is: 949.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.72 : 1,178.12 = 631.34 : x
  2. Step 2: Convert to fraction form
    783.72/1,178.12 = 631.34/x
  3. Step 3: Cross multiply
    783.72x = 1,178.12 × 631.34
  4. Step 4: Simplify right side
    783.72x = 743,794.28
  5. Step 5: Solve for x
    x = 743,794.28/783.72
  6. Step 6: Final answer
    x = 949.06

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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.