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Finding the Fourth Proportional to 770.48, 1,147.36 and 768.32

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Solution

The fourth proportional to 770.48, 1,147.36 and 768.32 is: 1,144.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.48 : 1,147.36 = 768.32 : x
  2. Step 2: Convert to fraction form
    770.48/1,147.36 = 768.32/x
  3. Step 3: Cross multiply
    770.48x = 1,147.36 × 768.32
  4. Step 4: Simplify right side
    770.48x = 881,539.64
  5. Step 5: Solve for x
    x = 881,539.64/770.48
  6. Step 6: Final answer
    x = 1,144.14

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Double scale
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1.5x scale

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.