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Finding the Fourth Proportional to 897.50, 1,239.29 and 711.94

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Solution

The fourth proportional to 897.50, 1,239.29 and 711.94 is: 983.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.50 : 1,239.29 = 711.94 : x
  2. Step 2: Convert to fraction form
    897.50/1,239.29 = 711.94/x
  3. Step 3: Cross multiply
    897.50x = 1,239.29 × 711.94
  4. Step 4: Simplify right side
    897.50x = 882,300.12
  5. Step 5: Solve for x
    x = 882,300.12/897.50
  6. Step 6: Final answer
    x = 983.06

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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.