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Finding the Fourth Proportional to 817.94, 1,129.68 and 555.50

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Solution

The fourth proportional to 817.94, 1,129.68 and 555.50 is: 767.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    817.94 : 1,129.68 = 555.50 : x
  2. Step 2: Convert to fraction form
    817.94/1,129.68 = 555.50/x
  3. Step 3: Cross multiply
    817.94x = 1,129.68 × 555.50
  4. Step 4: Simplify right side
    817.94x = 627,537.24
  5. Step 5: Solve for x
    x = 627,537.24/817.94
  6. Step 6: Final answer
    x = 767.22

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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.