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Finding the Fourth Proportional to 713.88, 985.14 and 415.08

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Solution

The fourth proportional to 713.88, 985.14 and 415.08 is: 572.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.88 : 985.14 = 415.08 : x
  2. Step 2: Convert to fraction form
    713.88/985.14 = 415.08/x
  3. Step 3: Cross multiply
    713.88x = 985.14 × 415.08
  4. Step 4: Simplify right side
    713.88x = 408,911.91
  5. Step 5: Solve for x
    x = 408,911.91/713.88
  6. Step 6: Final answer
    x = 572.80

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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.