Home / 1,005.04-1,507.20-419.98

Finding the Fourth Proportional to 1,005.04, 1,507.20 and 419.98

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Solution

The fourth proportional to 1,005.04, 1,507.20 and 419.98 is: 629.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,005.04 : 1,507.20 = 419.98 : x
  2. Step 2: Convert to fraction form
    1,005.04/1,507.20 = 419.98/x
  3. Step 3: Cross multiply
    1,005.04x = 1,507.20 × 419.98
  4. Step 4: Simplify right side
    1,005.04x = 632,993.86
  5. Step 5: Solve for x
    x = 632,993.86/1,005.04
  6. Step 6: Final answer
    x = 629.82

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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.