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Finding the Fourth Proportional to 608.16, 839.76 and 412.32

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Solution

The fourth proportional to 608.16, 839.76 and 412.32 is: 569.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.16 : 839.76 = 412.32 : x
  2. Step 2: Convert to fraction form
    608.16/839.76 = 412.32/x
  3. Step 3: Cross multiply
    608.16x = 839.76 × 412.32
  4. Step 4: Simplify right side
    608.16x = 346,249.84
  5. Step 5: Solve for x
    x = 346,249.84/608.16
  6. Step 6: Final answer
    x = 569.34

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1.5x scale

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.