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Finding the Fourth Proportional to 1,029.51, 1,544.60 and 412.90

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Solution

The fourth proportional to 1,029.51, 1,544.60 and 412.90 is: 619.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,029.51 : 1,544.60 = 412.90 : x
  2. Step 2: Convert to fraction form
    1,029.51/1,544.60 = 412.90/x
  3. Step 3: Cross multiply
    1,029.51x = 1,544.60 × 412.90
  4. Step 4: Simplify right side
    1,029.51x = 637,762.51
  5. Step 5: Solve for x
    x = 637,762.51/1,029.51
  6. Step 6: Final answer
    x = 619.48

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1.5x scale

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.