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Finding the Fourth Proportional to 429.64, 592.85 and 313

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Solution

The fourth proportional to 429.64, 592.85 and 313 is: 431.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    429.64 : 592.85 = 313 : x
  2. Step 2: Convert to fraction form
    429.64/592.85 = 313/x
  3. Step 3: Cross multiply
    429.64x = 592.85 × 313
  4. Step 4: Simplify right side
    429.64x = 185,562.05
  5. Step 5: Solve for x
    x = 185,562.05/429.64
  6. Step 6: Final answer
    x = 431.90

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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.