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Finding the Fourth Proportional to 783.06, 1,173.96 and 431.64

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Solution

The fourth proportional to 783.06, 1,173.96 and 431.64 is: 647.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.06 : 1,173.96 = 431.64 : x
  2. Step 2: Convert to fraction form
    783.06/1,173.96 = 431.64/x
  3. Step 3: Cross multiply
    783.06x = 1,173.96 × 431.64
  4. Step 4: Simplify right side
    783.06x = 506,728.09
  5. Step 5: Solve for x
    x = 506,728.09/783.06
  6. Step 6: Final answer
    x = 647.11

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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.