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Finding the Fourth Proportional to 819.12, 1,130.32 and 465.05

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Solution

The fourth proportional to 819.12, 1,130.32 and 465.05 is: 641.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.12 : 1,130.32 = 465.05 : x
  2. Step 2: Convert to fraction form
    819.12/1,130.32 = 465.05/x
  3. Step 3: Cross multiply
    819.12x = 1,130.32 × 465.05
  4. Step 4: Simplify right side
    819.12x = 525,655.32
  5. Step 5: Solve for x
    x = 525,655.32/819.12
  6. Step 6: Final answer
    x = 641.73

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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.