Home / 1,582.45-2,373.04-486.43

Finding the Fourth Proportional to 1,582.45, 2,373.04 and 486.43

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Solution

The fourth proportional to 1,582.45, 2,373.04 and 486.43 is: 729.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.45 : 2,373.04 = 486.43 : x
  2. Step 2: Convert to fraction form
    1,582.45/2,373.04 = 486.43/x
  3. Step 3: Cross multiply
    1,582.45x = 2,373.04 × 486.43
  4. Step 4: Simplify right side
    1,582.45x = 1,154,317.85
  5. Step 5: Solve for x
    x = 1,154,317.85/1,582.45
  6. Step 6: Final answer
    x = 729.45

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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.