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Finding the Fourth Proportional to 819.40, 1,130.68 and 465.30

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Solution

The fourth proportional to 819.40, 1,130.68 and 465.30 is: 642.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.40 : 1,130.68 = 465.30 : x
  2. Step 2: Convert to fraction form
    819.40/1,130.68 = 465.30/x
  3. Step 3: Cross multiply
    819.40x = 1,130.68 × 465.30
  4. Step 4: Simplify right side
    819.40x = 526,105.40
  5. Step 5: Solve for x
    x = 526,105.40/819.40
  6. Step 6: Final answer
    x = 642.06

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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.