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Finding the Fourth Proportional to 857.96, 1,184.00 and 465.00

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Solution

The fourth proportional to 857.96, 1,184.00 and 465.00 is: 641.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    857.96 : 1,184.00 = 465.00 : x
  2. Step 2: Convert to fraction form
    857.96/1,184.00 = 465.00/x
  3. Step 3: Cross multiply
    857.96x = 1,184.00 × 465.00
  4. Step 4: Simplify right side
    857.96x = 550,555.85
  5. Step 5: Solve for x
    x = 550,555.85/857.96
  6. Step 6: Final answer
    x = 641.70

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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.