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Finding the Fourth Proportional to 453.65, 679.66 and 429.35

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Solution

The fourth proportional to 453.65, 679.66 and 429.35 is: 643.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    453.65 : 679.66 = 429.35 : x
  2. Step 2: Convert to fraction form
    453.65/679.66 = 429.35/x
  3. Step 3: Cross multiply
    453.65x = 679.66 × 429.35
  4. Step 4: Simplify right side
    453.65x = 291,812.02
  5. Step 5: Solve for x
    x = 291,812.02/453.65
  6. Step 6: Final answer
    x = 643.25

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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.