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Finding the Fourth Proportional to 783.37, 1,080.67 and 658.99

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Solution

The fourth proportional to 783.37, 1,080.67 and 658.99 is: 909.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.37 : 1,080.67 = 658.99 : x
  2. Step 2: Convert to fraction form
    783.37/1,080.67 = 658.99/x
  3. Step 3: Cross multiply
    783.37x = 1,080.67 × 658.99
  4. Step 4: Simplify right side
    783.37x = 712,148.85
  5. Step 5: Solve for x
    x = 712,148.85/783.37
  6. Step 6: Final answer
    x = 909.08

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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.