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Finding the Fourth Proportional to 1,218.47, 1,681.49 and 658.94

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Solution

The fourth proportional to 1,218.47, 1,681.49 and 658.94 is: 909.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.47 : 1,681.49 = 658.94 : x
  2. Step 2: Convert to fraction form
    1,218.47/1,681.49 = 658.94/x
  3. Step 3: Cross multiply
    1,218.47x = 1,681.49 × 658.94
  4. Step 4: Simplify right side
    1,218.47x = 1,108,006.87
  5. Step 5: Solve for x
    x = 1,108,006.87/1,218.47
  6. Step 6: Final answer
    x = 909.34

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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.