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Finding the Fourth Proportional to 900.40, 1,348.72 and 466.24

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Solution

The fourth proportional to 900.40, 1,348.72 and 466.24 is: 698.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.40 : 1,348.72 = 466.24 : x
  2. Step 2: Convert to fraction form
    900.40/1,348.72 = 466.24/x
  3. Step 3: Cross multiply
    900.40x = 1,348.72 × 466.24
  4. Step 4: Simplify right side
    900.40x = 628,827.21
  5. Step 5: Solve for x
    x = 628,827.21/900.40
  6. Step 6: Final answer
    x = 698.39

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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.