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Finding the Fourth Proportional to 715.79, 987.53 and 506.31

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Solution

The fourth proportional to 715.79, 987.53 and 506.31 is: 698.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.79 : 987.53 = 506.31 : x
  2. Step 2: Convert to fraction form
    715.79/987.53 = 506.31/x
  3. Step 3: Cross multiply
    715.79x = 987.53 × 506.31
  4. Step 4: Simplify right side
    715.79x = 499,993.78
  5. Step 5: Solve for x
    x = 499,993.78/715.79
  6. Step 6: Final answer
    x = 698.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.