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Finding the Fourth Proportional to 953.07, 1,429.25 and 405.30

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Solution

The fourth proportional to 953.07, 1,429.25 and 405.30 is: 607.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.07 : 1,429.25 = 405.30 : x
  2. Step 2: Convert to fraction form
    953.07/1,429.25 = 405.30/x
  3. Step 3: Cross multiply
    953.07x = 1,429.25 × 405.30
  4. Step 4: Simplify right side
    953.07x = 579,273.00
  5. Step 5: Solve for x
    x = 579,273.00/953.07
  6. Step 6: Final answer
    x = 607.80

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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.