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Finding the Fourth Proportional to 770.34, 1,152.99 and 654.96

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Solution

The fourth proportional to 770.34, 1,152.99 and 654.96 is: 980.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.34 : 1,152.99 = 654.96 : x
  2. Step 2: Convert to fraction form
    770.34/1,152.99 = 654.96/x
  3. Step 3: Cross multiply
    770.34x = 1,152.99 × 654.96
  4. Step 4: Simplify right side
    770.34x = 755,162.33
  5. Step 5: Solve for x
    x = 755,162.33/770.34
  6. Step 6: Final answer
    x = 980.30

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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.