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Finding the Fourth Proportional to 906.64, 1,360 and 412.84

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Solution

The fourth proportional to 906.64, 1,360 and 412.84 is: 619.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.64 : 1,360 = 412.84 : x
  2. Step 2: Convert to fraction form
    906.64/1,360 = 412.84/x
  3. Step 3: Cross multiply
    906.64x = 1,360 × 412.84
  4. Step 4: Simplify right side
    906.64x = 561,462.40
  5. Step 5: Solve for x
    x = 561,462.40/906.64
  6. Step 6: Final answer
    x = 619.28

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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.