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Finding the Fourth Proportional to 786.80, 1,087.08 and 590.96

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Solution

The fourth proportional to 786.80, 1,087.08 and 590.96 is: 816.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.80 : 1,087.08 = 590.96 : x
  2. Step 2: Convert to fraction form
    786.80/1,087.08 = 590.96/x
  3. Step 3: Cross multiply
    786.80x = 1,087.08 × 590.96
  4. Step 4: Simplify right side
    786.80x = 642,420.80
  5. Step 5: Solve for x
    x = 642,420.80/786.80
  6. Step 6: Final answer
    x = 816.50

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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.