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Finding the Fourth Proportional to 770.36, 1,155.78 and 709.28

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Solution

The fourth proportional to 770.36, 1,155.78 and 709.28 is: 1,064.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.36 : 1,155.78 = 709.28 : x
  2. Step 2: Convert to fraction form
    770.36/1,155.78 = 709.28/x
  3. Step 3: Cross multiply
    770.36x = 1,155.78 × 709.28
  4. Step 4: Simplify right side
    770.36x = 819,771.64
  5. Step 5: Solve for x
    x = 819,771.64/770.36
  6. Step 6: Final answer
    x = 1,064.14

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.