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Finding the Fourth Proportional to 906.02, 1,357.17 and 699.86

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Solution

The fourth proportional to 906.02, 1,357.17 and 699.86 is: 1,048.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    906.02 : 1,357.17 = 699.86 : x
  2. Step 2: Convert to fraction form
    906.02/1,357.17 = 699.86/x
  3. Step 3: Cross multiply
    906.02x = 1,357.17 × 699.86
  4. Step 4: Simplify right side
    906.02x = 949,829.00
  5. Step 5: Solve for x
    x = 949,829.00/906.02
  6. Step 6: Final answer
    x = 1,048.35

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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.