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Finding the Fourth Proportional to 897.94, 1,239.70 and 712.18

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Solution

The fourth proportional to 897.94, 1,239.70 and 712.18 is: 983.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    897.94 : 1,239.70 = 712.18 : x
  2. Step 2: Convert to fraction form
    897.94/1,239.70 = 712.18/x
  3. Step 3: Cross multiply
    897.94x = 1,239.70 × 712.18
  4. Step 4: Simplify right side
    897.94x = 882,889.55
  5. Step 5: Solve for x
    x = 882,889.55/897.94
  6. Step 6: Final answer
    x = 983.24

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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.