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Finding the Fourth Proportional to 429.59, 592.56 and 346.70

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Solution

The fourth proportional to 429.59, 592.56 and 346.70 is: 478.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.59 : 592.56 = 346.70 : x
  2. Step 2: Convert to fraction form
    429.59/592.56 = 346.70/x
  3. Step 3: Cross multiply
    429.59x = 592.56 × 346.70
  4. Step 4: Simplify right side
    429.59x = 205,437.59
  5. Step 5: Solve for x
    x = 205,437.59/429.59
  6. Step 6: Final answer
    x = 478.22

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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.