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Finding the Fourth Proportional to 1,419.92, 2,130.24 and 726.32

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Solution

The fourth proportional to 1,419.92, 2,130.24 and 726.32 is: 1,089.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419.92 : 2,130.24 = 726.32 : x
  2. Step 2: Convert to fraction form
    1,419.92/2,130.24 = 726.32/x
  3. Step 3: Cross multiply
    1,419.92x = 2,130.24 × 726.32
  4. Step 4: Simplify right side
    1,419.92x = 1,547,235.92
  5. Step 5: Solve for x
    x = 1,547,235.92/1,419.92
  6. Step 6: Final answer
    x = 1,089.66

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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.