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Finding the Fourth Proportional to 956.16, 1,433.08 and 783.12

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Solution

The fourth proportional to 956.16, 1,433.08 and 783.12 is: 1,173.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    956.16 : 1,433.08 = 783.12 : x
  2. Step 2: Convert to fraction form
    956.16/1,433.08 = 783.12/x
  3. Step 3: Cross multiply
    956.16x = 1,433.08 × 783.12
  4. Step 4: Simplify right side
    956.16x = 1,122,273.61
  5. Step 5: Solve for x
    x = 1,122,273.61/956.16
  6. Step 6: Final answer
    x = 1,173.73

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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.