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Finding the Fourth Proportional to 777.31, 1,157.63 and 763.67

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Solution

The fourth proportional to 777.31, 1,157.63 and 763.67 is: 1,137.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    777.31 : 1,157.63 = 763.67 : x
  2. Step 2: Convert to fraction form
    777.31/1,157.63 = 763.67/x
  3. Step 3: Cross multiply
    777.31x = 1,157.63 × 763.67
  4. Step 4: Simplify right side
    777.31x = 884,047.30
  5. Step 5: Solve for x
    x = 884,047.30/777.31
  6. Step 6: Final answer
    x = 1,137.32

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.