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Finding the Fourth Proportional to 820.19, 1,131.91 and 465.98

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Solution

The fourth proportional to 820.19, 1,131.91 and 465.98 is: 643.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    820.19 : 1,131.91 = 465.98 : x
  2. Step 2: Convert to fraction form
    820.19/1,131.91 = 465.98/x
  3. Step 3: Cross multiply
    820.19x = 1,131.91 × 465.98
  4. Step 4: Simplify right side
    820.19x = 527,445.75
  5. Step 5: Solve for x
    x = 527,445.75/820.19
  6. Step 6: Final answer
    x = 643.08

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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.