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Finding the Fourth Proportional to 770.86, 1,064.91 and 667.18

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Solution

The fourth proportional to 770.86, 1,064.91 and 667.18 is: 921.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.86 : 1,064.91 = 667.18 : x
  2. Step 2: Convert to fraction form
    770.86/1,064.91 = 667.18/x
  3. Step 3: Cross multiply
    770.86x = 1,064.91 × 667.18
  4. Step 4: Simplify right side
    770.86x = 710,486.65
  5. Step 5: Solve for x
    x = 710,486.65/770.86
  6. Step 6: Final answer
    x = 921.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.