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Finding the Fourth Proportional to 611.04, 917.28 and 427.68

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Solution

The fourth proportional to 611.04, 917.28 and 427.68 is: 642.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.04 : 917.28 = 427.68 : x
  2. Step 2: Convert to fraction form
    611.04/917.28 = 427.68/x
  3. Step 3: Cross multiply
    611.04x = 917.28 × 427.68
  4. Step 4: Simplify right side
    611.04x = 392,302.31
  5. Step 5: Solve for x
    x = 392,302.31/611.04
  6. Step 6: Final answer
    x = 642.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.