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Finding the Fourth Proportional to 506, 697.56 and 358.98

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Solution

The fourth proportional to 506, 697.56 and 358.98 is: 494.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    506 : 697.56 = 358.98 : x
  2. Step 2: Convert to fraction form
    506/697.56 = 358.98/x
  3. Step 3: Cross multiply
    506x = 697.56 × 358.98
  4. Step 4: Simplify right side
    506x = 250,410.09
  5. Step 5: Solve for x
    x = 250,410.09/506
  6. Step 6: Final answer
    x = 494.88

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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.