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Finding the Fourth Proportional to 713.63, 978.53 and 643.41

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Solution

The fourth proportional to 713.63, 978.53 and 643.41 is: 882.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.63 : 978.53 = 643.41 : x
  2. Step 2: Convert to fraction form
    713.63/978.53 = 643.41/x
  3. Step 3: Cross multiply
    713.63x = 978.53 × 643.41
  4. Step 4: Simplify right side
    713.63x = 629,592.77
  5. Step 5: Solve for x
    x = 629,592.77/713.63
  6. Step 6: Final answer
    x = 882.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.