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Finding the Fourth Proportional to 948.65, 1,423.70 and 658.19

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Solution

The fourth proportional to 948.65, 1,423.70 and 658.19 is: 987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    948.65 : 1,423.70 = 658.19 : x
  2. Step 2: Convert to fraction form
    948.65/1,423.70 = 658.19/x
  3. Step 3: Cross multiply
    948.65x = 1,423.70 × 658.19
  4. Step 4: Simplify right side
    948.65x = 937,067.84
  5. Step 5: Solve for x
    x = 937,067.84/948.65
  6. Step 6: Final answer
    x = 987.80

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.