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Finding the Fourth Proportional to 608.32, 839.42 and 346.32

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Solution

The fourth proportional to 608.32, 839.42 and 346.32 is: 477.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    608.32 : 839.42 = 346.32 : x
  2. Step 2: Convert to fraction form
    608.32/839.42 = 346.32/x
  3. Step 3: Cross multiply
    608.32x = 839.42 × 346.32
  4. Step 4: Simplify right side
    608.32x = 290,707.93
  5. Step 5: Solve for x
    x = 290,707.93/608.32
  6. Step 6: Final answer
    x = 477.89

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Double scale
Find fourth proportional to 609.32, 840.80 and 347.32
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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.