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Finding the Fourth Proportional to 899.76, 1,348.86 and 467.16

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Solution

The fourth proportional to 899.76, 1,348.86 and 467.16 is: 700.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    899.76 : 1,348.86 = 467.16 : x
  2. Step 2: Convert to fraction form
    899.76/1,348.86 = 467.16/x
  3. Step 3: Cross multiply
    899.76x = 1,348.86 × 467.16
  4. Step 4: Simplify right side
    899.76x = 630,133.44
  5. Step 5: Solve for x
    x = 630,133.44/899.76
  6. Step 6: Final answer
    x = 700.34

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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.