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Finding the Fourth Proportional to 593.79, 818.57 and 406.98

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Solution

The fourth proportional to 593.79, 818.57 and 406.98 is: 561.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    593.79 : 818.57 = 406.98 : x
  2. Step 2: Convert to fraction form
    593.79/818.57 = 406.98/x
  3. Step 3: Cross multiply
    593.79x = 818.57 × 406.98
  4. Step 4: Simplify right side
    593.79x = 333,139.58
  5. Step 5: Solve for x
    x = 333,139.58/593.79
  6. Step 6: Final answer
    x = 561.04

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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.