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Finding the Fourth Proportional to 953.64, 1,429.98 and 405.52

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Solution

The fourth proportional to 953.64, 1,429.98 and 405.52 is: 608.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.64 : 1,429.98 = 405.52 : x
  2. Step 2: Convert to fraction form
    953.64/1,429.98 = 405.52/x
  3. Step 3: Cross multiply
    953.64x = 1,429.98 × 405.52
  4. Step 4: Simplify right side
    953.64x = 579,885.49
  5. Step 5: Solve for x
    x = 579,885.49/953.64
  6. Step 6: Final answer
    x = 608.08

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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.