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Finding the Fourth Proportional to 770.90, 1,157.15 and 719.06

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Solution

The fourth proportional to 770.90, 1,157.15 and 719.06 is: 1,079.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.90 : 1,157.15 = 719.06 : x
  2. Step 2: Convert to fraction form
    770.90/1,157.15 = 719.06/x
  3. Step 3: Cross multiply
    770.90x = 1,157.15 × 719.06
  4. Step 4: Simplify right side
    770.90x = 832,056.29
  5. Step 5: Solve for x
    x = 832,056.29/770.90
  6. Step 6: Final answer
    x = 1,079.34

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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.