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Finding the Fourth Proportional to 770.96, 1,063.46 and 509.34

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Solution

The fourth proportional to 770.96, 1,063.46 and 509.34 is: 702.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.96 : 1,063.46 = 509.34 : x
  2. Step 2: Convert to fraction form
    770.96/1,063.46 = 509.34/x
  3. Step 3: Cross multiply
    770.96x = 1,063.46 × 509.34
  4. Step 4: Simplify right side
    770.96x = 541,662.72
  5. Step 5: Solve for x
    x = 541,662.72/770.96
  6. Step 6: Final answer
    x = 702.58

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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.