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Finding the Fourth Proportional to 770.82, 1,154.57 and 510.94

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Solution

The fourth proportional to 770.82, 1,154.57 and 510.94 is: 765.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.82 : 1,154.57 = 510.94 : x
  2. Step 2: Convert to fraction form
    770.82/1,154.57 = 510.94/x
  3. Step 3: Cross multiply
    770.82x = 1,154.57 × 510.94
  4. Step 4: Simplify right side
    770.82x = 589,914.88
  5. Step 5: Solve for x
    x = 589,914.88/770.82
  6. Step 6: Final answer
    x = 765.31

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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.