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Finding the Fourth Proportional to 756.56, 1,133.36 and 617.91

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Solution

The fourth proportional to 756.56, 1,133.36 and 617.91 is: 925.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    756.56 : 1,133.36 = 617.91 : x
  2. Step 2: Convert to fraction form
    756.56/1,133.36 = 617.91/x
  3. Step 3: Cross multiply
    756.56x = 1,133.36 × 617.91
  4. Step 4: Simplify right side
    756.56x = 700,314.48
  5. Step 5: Solve for x
    x = 700,314.48/756.56
  6. Step 6: Final answer
    x = 925.66

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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.