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Finding the Fourth Proportional to 904.64, 1,354.92 and 552.30

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Solution

The fourth proportional to 904.64, 1,354.92 and 552.30 is: 827.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    904.64 : 1,354.92 = 552.30 : x
  2. Step 2: Convert to fraction form
    904.64/1,354.92 = 552.30/x
  3. Step 3: Cross multiply
    904.64x = 1,354.92 × 552.30
  4. Step 4: Simplify right side
    904.64x = 748,322.32
  5. Step 5: Solve for x
    x = 748,322.32/904.64
  6. Step 6: Final answer
    x = 827.20

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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.