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Finding the Fourth Proportional to 602.59, 830.25 and 405.76

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Solution

The fourth proportional to 602.59, 830.25 and 405.76 is: 559.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    602.59 : 830.25 = 405.76 : x
  2. Step 2: Convert to fraction form
    602.59/830.25 = 405.76/x
  3. Step 3: Cross multiply
    602.59x = 830.25 × 405.76
  4. Step 4: Simplify right side
    602.59x = 336,882.24
  5. Step 5: Solve for x
    x = 336,882.24/602.59
  6. Step 6: Final answer
    x = 559.06

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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.