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Finding the Fourth Proportional to 786.58, 1,180.34 and 421.17

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Solution

The fourth proportional to 786.58, 1,180.34 and 421.17 is: 632.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.58 : 1,180.34 = 421.17 : x
  2. Step 2: Convert to fraction form
    786.58/1,180.34 = 421.17/x
  3. Step 3: Cross multiply
    786.58x = 1,180.34 × 421.17
  4. Step 4: Simplify right side
    786.58x = 497,118.85
  5. Step 5: Solve for x
    x = 497,118.85/786.58
  6. Step 6: Final answer
    x = 632.00

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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.