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Finding the Fourth Proportional to 897.67, 1,239.68 and 713.11

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Solution

The fourth proportional to 897.67, 1,239.68 and 713.11 is: 984.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.67 : 1,239.68 = 713.11 : x
  2. Step 2: Convert to fraction form
    897.67/1,239.68 = 713.11/x
  3. Step 3: Cross multiply
    897.67x = 1,239.68 × 713.11
  4. Step 4: Simplify right side
    897.67x = 884,024.64
  5. Step 5: Solve for x
    x = 884,024.64/897.67
  6. Step 6: Final answer
    x = 984.80

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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.