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Finding the Fourth Proportional to 505.00, 697.48 and 498.18

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Solution

The fourth proportional to 505.00, 697.48 and 498.18 is: 688.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.00 : 697.48 = 498.18 : x
  2. Step 2: Convert to fraction form
    505.00/697.48 = 498.18/x
  3. Step 3: Cross multiply
    505.00x = 697.48 × 498.18
  4. Step 4: Simplify right side
    505.00x = 347,471.96
  5. Step 5: Solve for x
    x = 347,471.96/505.00
  6. Step 6: Final answer
    x = 688.06

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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.