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Finding the Fourth Proportional to 429.61, 592.81 and 289.70

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Solution

The fourth proportional to 429.61, 592.81 and 289.70 is: 399.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.61 : 592.81 = 289.70 : x
  2. Step 2: Convert to fraction form
    429.61/592.81 = 289.70/x
  3. Step 3: Cross multiply
    429.61x = 592.81 × 289.70
  4. Step 4: Simplify right side
    429.61x = 171,737.06
  5. Step 5: Solve for x
    x = 171,737.06/429.61
  6. Step 6: Final answer
    x = 399.75

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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.