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Finding the Fourth Proportional to 611.18, 917.30 and 437.84

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Solution

The fourth proportional to 611.18, 917.30 and 437.84 is: 657.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    611.18 : 917.30 = 437.84 : x
  2. Step 2: Convert to fraction form
    611.18/917.30 = 437.84/x
  3. Step 3: Cross multiply
    611.18x = 917.30 × 437.84
  4. Step 4: Simplify right side
    611.18x = 401,630.63
  5. Step 5: Solve for x
    x = 401,630.63/611.18
  6. Step 6: Final answer
    x = 657.14

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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.