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Finding the Fourth Proportional to 515.12, 710.98 and 328.88

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Solution

The fourth proportional to 515.12, 710.98 and 328.88 is: 453.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    515.12 : 710.98 = 328.88 : x
  2. Step 2: Convert to fraction form
    515.12/710.98 = 328.88/x
  3. Step 3: Cross multiply
    515.12x = 710.98 × 328.88
  4. Step 4: Simplify right side
    515.12x = 233,825.39
  5. Step 5: Solve for x
    x = 233,825.39/515.12
  6. Step 6: Final answer
    x = 453.93

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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.