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Finding the Fourth Proportional to 505.01, 697.48 and 498.17

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Solution

The fourth proportional to 505.01, 697.48 and 498.17 is: 688.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    505.01 : 697.48 = 498.17 : x
  2. Step 2: Convert to fraction form
    505.01/697.48 = 498.17/x
  3. Step 3: Cross multiply
    505.01x = 697.48 × 498.17
  4. Step 4: Simplify right side
    505.01x = 347,464.11
  5. Step 5: Solve for x
    x = 347,464.11/505.01
  6. Step 6: Final answer
    x = 688.03

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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.