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Finding the Fourth Proportional to 971.99, 1,458.42 and 509.66

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Solution

The fourth proportional to 971.99, 1,458.42 and 509.66 is: 764.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    971.99 : 1,458.42 = 509.66 : x
  2. Step 2: Convert to fraction form
    971.99/1,458.42 = 509.66/x
  3. Step 3: Cross multiply
    971.99x = 1,458.42 × 509.66
  4. Step 4: Simplify right side
    971.99x = 743,301.98
  5. Step 5: Solve for x
    x = 743,301.98/971.99
  6. Step 6: Final answer
    x = 764.72

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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.