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Finding the Fourth Proportional to 770.71, 1,153.99 and 587.23

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Solution

The fourth proportional to 770.71, 1,153.99 and 587.23 is: 879.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,153.99 = 587.23 : x
  2. Step 2: Convert to fraction form
    770.71/1,153.99 = 587.23/x
  3. Step 3: Cross multiply
    770.71x = 1,153.99 × 587.23
  4. Step 4: Simplify right side
    770.71x = 677,657.55
  5. Step 5: Solve for x
    x = 677,657.55/770.71
  6. Step 6: Final answer
    x = 879.26

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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.