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Finding the Fourth Proportional to 819.55, 1,130.78 and 465.40

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Solution

The fourth proportional to 819.55, 1,130.78 and 465.40 is: 642.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    819.55 : 1,130.78 = 465.40 : x
  2. Step 2: Convert to fraction form
    819.55/1,130.78 = 465.40/x
  3. Step 3: Cross multiply
    819.55x = 1,130.78 × 465.40
  4. Step 4: Simplify right side
    819.55x = 526,263.35
  5. Step 5: Solve for x
    x = 526,263.35/819.55
  6. Step 6: Final answer
    x = 642.14

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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.