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Finding the Fourth Proportional to 899.64, 1,350.36 and 467.76

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Solution

The fourth proportional to 899.64, 1,350.36 and 467.76 is: 702.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.64 : 1,350.36 = 467.76 : x
  2. Step 2: Convert to fraction form
    899.64/1,350.36 = 467.76/x
  3. Step 3: Cross multiply
    899.64x = 1,350.36 × 467.76
  4. Step 4: Simplify right side
    899.64x = 631,644.39
  5. Step 5: Solve for x
    x = 631,644.39/899.64
  6. Step 6: Final answer
    x = 702.11

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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.