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Finding the Fourth Proportional to 817.60, 1,127.54 and 608.30

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Solution

The fourth proportional to 817.60, 1,127.54 and 608.30 is: 838.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.60 : 1,127.54 = 608.30 : x
  2. Step 2: Convert to fraction form
    817.60/1,127.54 = 608.30/x
  3. Step 3: Cross multiply
    817.60x = 1,127.54 × 608.30
  4. Step 4: Simplify right side
    817.60x = 685,873.90
  5. Step 5: Solve for x
    x = 685,873.90/817.60
  6. Step 6: Final answer
    x = 838.89

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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.