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Finding the Fourth Proportional to 743.64, 1,026.16 and 412.08

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Solution

The fourth proportional to 743.64, 1,026.16 and 412.08 is: 568.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    743.64 : 1,026.16 = 412.08 : x
  2. Step 2: Convert to fraction form
    743.64/1,026.16 = 412.08/x
  3. Step 3: Cross multiply
    743.64x = 1,026.16 × 412.08
  4. Step 4: Simplify right side
    743.64x = 422,860.01
  5. Step 5: Solve for x
    x = 422,860.01/743.64
  6. Step 6: Final answer
    x = 568.64

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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.