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Finding the Fourth Proportional to 953.26, 1,428.67 and 404.89

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Solution

The fourth proportional to 953.26, 1,428.67 and 404.89 is: 606.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.26 : 1,428.67 = 404.89 : x
  2. Step 2: Convert to fraction form
    953.26/1,428.67 = 404.89/x
  3. Step 3: Cross multiply
    953.26x = 1,428.67 × 404.89
  4. Step 4: Simplify right side
    953.26x = 578,454.20
  5. Step 5: Solve for x
    x = 578,454.20/953.26
  6. Step 6: Final answer
    x = 606.82

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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.