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Finding the Fourth Proportional to 800.01, 1,200.15 and 557.01

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Solution

The fourth proportional to 800.01, 1,200.15 and 557.01 is: 835.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    800.01 : 1,200.15 = 557.01 : x
  2. Step 2: Convert to fraction form
    800.01/1,200.15 = 557.01/x
  3. Step 3: Cross multiply
    800.01x = 1,200.15 × 557.01
  4. Step 4: Simplify right side
    800.01x = 668,495.55
  5. Step 5: Solve for x
    x = 668,495.55/800.01
  6. Step 6: Final answer
    x = 835.61

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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.