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Finding the Fourth Proportional to 953.16, 1,429.62 and 405.12

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Solution

The fourth proportional to 953.16, 1,429.62 and 405.12 is: 607.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.16 : 1,429.62 = 405.12 : x
  2. Step 2: Convert to fraction form
    953.16/1,429.62 = 405.12/x
  3. Step 3: Cross multiply
    953.16x = 1,429.62 × 405.12
  4. Step 4: Simplify right side
    953.16x = 579,167.65
  5. Step 5: Solve for x
    x = 579,167.65/953.16
  6. Step 6: Final answer
    x = 607.63

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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.