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Finding the Fourth Proportional to 1,070.54, 1,604.72 and 412.24

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Solution

The fourth proportional to 1,070.54, 1,604.72 and 412.24 is: 617.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,070.54 : 1,604.72 = 412.24 : x
  2. Step 2: Convert to fraction form
    1,070.54/1,604.72 = 412.24/x
  3. Step 3: Cross multiply
    1,070.54x = 1,604.72 × 412.24
  4. Step 4: Simplify right side
    1,070.54x = 661,529.77
  5. Step 5: Solve for x
    x = 661,529.77/1,070.54
  6. Step 6: Final answer
    x = 617.94

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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.