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Finding the Fourth Proportional to 770.67, 1,157.40 and 706.41

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Solution

The fourth proportional to 770.67, 1,157.40 and 706.41 is: 1,060.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.67 : 1,157.40 = 706.41 : x
  2. Step 2: Convert to fraction form
    770.67/1,157.40 = 706.41/x
  3. Step 3: Cross multiply
    770.67x = 1,157.40 × 706.41
  4. Step 4: Simplify right side
    770.67x = 817,598.93
  5. Step 5: Solve for x
    x = 817,598.93/770.67
  6. Step 6: Final answer
    x = 1,060.89

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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.