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Finding the Fourth Proportional to 900.30, 1,350.45 and 467.58

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Solution

The fourth proportional to 900.30, 1,350.45 and 467.58 is: 701.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    900.30 : 1,350.45 = 467.58 : x
  2. Step 2: Convert to fraction form
    900.30/1,350.45 = 467.58/x
  3. Step 3: Cross multiply
    900.30x = 1,350.45 × 467.58
  4. Step 4: Simplify right side
    900.30x = 631,443.41
  5. Step 5: Solve for x
    x = 631,443.41/900.30
  6. Step 6: Final answer
    x = 701.37

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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.