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Finding the Fourth Proportional to 976.72, 1,465.76 and 429.06

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Solution

The fourth proportional to 976.72, 1,465.76 and 429.06 is: 643.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    976.72 : 1,465.76 = 429.06 : x
  2. Step 2: Convert to fraction form
    976.72/1,465.76 = 429.06/x
  3. Step 3: Cross multiply
    976.72x = 1,465.76 × 429.06
  4. Step 4: Simplify right side
    976.72x = 628,898.99
  5. Step 5: Solve for x
    x = 628,898.99/976.72
  6. Step 6: Final answer
    x = 643.89

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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.