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Finding the Fourth Proportional to 602.96, 832 and 340.96

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Solution

The fourth proportional to 602.96, 832 and 340.96 is: 470.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.96 : 832 = 340.96 : x
  2. Step 2: Convert to fraction form
    602.96/832 = 340.96/x
  3. Step 3: Cross multiply
    602.96x = 832 × 340.96
  4. Step 4: Simplify right side
    602.96x = 283,678.72
  5. Step 5: Solve for x
    x = 283,678.72/602.96
  6. Step 6: Final answer
    x = 470.48

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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.