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Finding the Fourth Proportional to 651.23, 981.42 and 586.30

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Solution

The fourth proportional to 651.23, 981.42 and 586.30 is: 883.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    651.23 : 981.42 = 586.30 : x
  2. Step 2: Convert to fraction form
    651.23/981.42 = 586.30/x
  3. Step 3: Cross multiply
    651.23x = 981.42 × 586.30
  4. Step 4: Simplify right side
    651.23x = 575,404.09
  5. Step 5: Solve for x
    x = 575,404.09/651.23
  6. Step 6: Final answer
    x = 883.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.