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Finding the Fourth Proportional to 1,218.33, 1,681.30 and 658.81

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Solution

The fourth proportional to 1,218.33, 1,681.30 and 658.81 is: 909.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,218.33 : 1,681.30 = 658.81 : x
  2. Step 2: Convert to fraction form
    1,218.33/1,681.30 = 658.81/x
  3. Step 3: Cross multiply
    1,218.33x = 1,681.30 × 658.81
  4. Step 4: Simplify right side
    1,218.33x = 1,107,647.20
  5. Step 5: Solve for x
    x = 1,107,647.20/1,218.33
  6. Step 6: Final answer
    x = 909.15

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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.