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Finding the Fourth Proportional to 953.34, 1,429.08 and 459.60

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Solution

The fourth proportional to 953.34, 1,429.08 and 459.60 is: 688.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.34 : 1,429.08 = 459.60 : x
  2. Step 2: Convert to fraction form
    953.34/1,429.08 = 459.60/x
  3. Step 3: Cross multiply
    953.34x = 1,429.08 × 459.60
  4. Step 4: Simplify right side
    953.34x = 656,805.17
  5. Step 5: Solve for x
    x = 656,805.17/953.34
  6. Step 6: Final answer
    x = 688.95

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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.