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Finding the Fourth Proportional to 780.31, 1,077.35 and 730.67

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Solution

The fourth proportional to 780.31, 1,077.35 and 730.67 is: 1,008.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    780.31 : 1,077.35 = 730.67 : x
  2. Step 2: Convert to fraction form
    780.31/1,077.35 = 730.67/x
  3. Step 3: Cross multiply
    780.31x = 1,077.35 × 730.67
  4. Step 4: Simplify right side
    780.31x = 787,188.45
  5. Step 5: Solve for x
    x = 787,188.45/780.31
  6. Step 6: Final answer
    x = 1,008.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.