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Finding the Fourth Proportional to 648.46, 973.14 and 429.04

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Solution

The fourth proportional to 648.46, 973.14 and 429.04 is: 643.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    648.46 : 973.14 = 429.04 : x
  2. Step 2: Convert to fraction form
    648.46/973.14 = 429.04/x
  3. Step 3: Cross multiply
    648.46x = 973.14 × 429.04
  4. Step 4: Simplify right side
    648.46x = 417,515.99
  5. Step 5: Solve for x
    x = 417,515.99/648.46
  6. Step 6: Final answer
    x = 643.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.