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Finding the Fourth Proportional to 819.46, 1,130.90 and 465.38

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Solution

The fourth proportional to 819.46, 1,130.90 and 465.38 is: 642.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.46 : 1,130.90 = 465.38 : x
  2. Step 2: Convert to fraction form
    819.46/1,130.90 = 465.38/x
  3. Step 3: Cross multiply
    819.46x = 1,130.90 × 465.38
  4. Step 4: Simplify right side
    819.46x = 526,294.50
  5. Step 5: Solve for x
    x = 526,294.50/819.46
  6. Step 6: Final answer
    x = 642.24

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1.5x scale

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.