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Finding the Fourth Proportional to 858.85, 1,185.22 and 465.87

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Solution

The fourth proportional to 858.85, 1,185.22 and 465.87 is: 642.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    858.85 : 1,185.22 = 465.87 : x
  2. Step 2: Convert to fraction form
    858.85/1,185.22 = 465.87/x
  3. Step 3: Cross multiply
    858.85x = 1,185.22 × 465.87
  4. Step 4: Simplify right side
    858.85x = 552,159.18
  5. Step 5: Solve for x
    x = 552,159.18/858.85
  6. Step 6: Final answer
    x = 642.91

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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.