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Finding the Fourth Proportional to 953.21, 1,428.80 and 623.12

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Solution

The fourth proportional to 953.21, 1,428.80 and 623.12 is: 934.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    953.21 : 1,428.80 = 623.12 : x
  2. Step 2: Convert to fraction form
    953.21/1,428.80 = 623.12/x
  3. Step 3: Cross multiply
    953.21x = 1,428.80 × 623.12
  4. Step 4: Simplify right side
    953.21x = 890,303.60
  5. Step 5: Solve for x
    x = 890,303.60/953.21
  6. Step 6: Final answer
    x = 934.00

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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.