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Finding the Fourth Proportional to 886.91, 1,329.46 and 424.01

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Solution

The fourth proportional to 886.91, 1,329.46 and 424.01 is: 635.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    886.91 : 1,329.46 = 424.01 : x
  2. Step 2: Convert to fraction form
    886.91/1,329.46 = 424.01/x
  3. Step 3: Cross multiply
    886.91x = 1,329.46 × 424.01
  4. Step 4: Simplify right side
    886.91x = 563,696.63
  5. Step 5: Solve for x
    x = 563,696.63/886.91
  6. Step 6: Final answer
    x = 635.58

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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.