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Finding the Fourth Proportional to 713.90, 985.36 and 504.10

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Solution

The fourth proportional to 713.90, 985.36 and 504.10 is: 695.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.90 : 985.36 = 504.10 : x
  2. Step 2: Convert to fraction form
    713.90/985.36 = 504.10/x
  3. Step 3: Cross multiply
    713.90x = 985.36 × 504.10
  4. Step 4: Simplify right side
    713.90x = 496,719.98
  5. Step 5: Solve for x
    x = 496,719.98/713.90
  6. Step 6: Final answer
    x = 695.78

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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.