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Finding the Fourth Proportional to 786.58, 1,085.20 and 450.24

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Solution

The fourth proportional to 786.58, 1,085.20 and 450.24 is: 621.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    786.58 : 1,085.20 = 450.24 : x
  2. Step 2: Convert to fraction form
    786.58/1,085.20 = 450.24/x
  3. Step 3: Cross multiply
    786.58x = 1,085.20 × 450.24
  4. Step 4: Simplify right side
    786.58x = 488,600.45
  5. Step 5: Solve for x
    x = 488,600.45/786.58
  6. Step 6: Final answer
    x = 621.17

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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.