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Finding the Fourth Proportional to 716.91, 989.38 and 402.16

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Solution

The fourth proportional to 716.91, 989.38 and 402.16 is: 555.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    716.91 : 989.38 = 402.16 : x
  2. Step 2: Convert to fraction form
    716.91/989.38 = 402.16/x
  3. Step 3: Cross multiply
    716.91x = 989.38 × 402.16
  4. Step 4: Simplify right side
    716.91x = 397,887.05
  5. Step 5: Solve for x
    x = 397,887.05/716.91
  6. Step 6: Final answer
    x = 555.00

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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.