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Finding the Fourth Proportional to 508.64, 701.88 and 333.68

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Solution

The fourth proportional to 508.64, 701.88 and 333.68 is: 460.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.64 : 701.88 = 333.68 : x
  2. Step 2: Convert to fraction form
    508.64/701.88 = 333.68/x
  3. Step 3: Cross multiply
    508.64x = 701.88 × 333.68
  4. Step 4: Simplify right side
    508.64x = 234,203.32
  5. Step 5: Solve for x
    x = 234,203.32/508.64
  6. Step 6: Final answer
    x = 460.45

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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.