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Finding the Fourth Proportional to 718.15, 990.80 and 456.32

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Solution

The fourth proportional to 718.15, 990.80 and 456.32 is: 629.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    718.15 : 990.80 = 456.32 : x
  2. Step 2: Convert to fraction form
    718.15/990.80 = 456.32/x
  3. Step 3: Cross multiply
    718.15x = 990.80 × 456.32
  4. Step 4: Simplify right side
    718.15x = 452,116.90
  5. Step 5: Solve for x
    x = 452,116.90/718.15
  6. Step 6: Final answer
    x = 629.56

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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.