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Finding the Fourth Proportional to 770.71, 1,153.31 and 617.61

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Solution

The fourth proportional to 770.71, 1,153.31 and 617.61 is: 924.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    770.71 : 1,153.31 = 617.61 : x
  2. Step 2: Convert to fraction form
    770.71/1,153.31 = 617.61/x
  3. Step 3: Cross multiply
    770.71x = 1,153.31 × 617.61
  4. Step 4: Simplify right side
    770.71x = 712,295.79
  5. Step 5: Solve for x
    x = 712,295.79/770.71
  6. Step 6: Final answer
    x = 924.21

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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.