Home / 1,582.36-2,373.32-486.42

Finding the Fourth Proportional to 1,582.36, 2,373.32 and 486.42

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Solution

The fourth proportional to 1,582.36, 2,373.32 and 486.42 is: 729.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.36 : 2,373.32 = 486.42 : x
  2. Step 2: Convert to fraction form
    1,582.36/2,373.32 = 486.42/x
  3. Step 3: Cross multiply
    1,582.36x = 2,373.32 × 486.42
  4. Step 4: Simplify right side
    1,582.36x = 1,154,430.31
  5. Step 5: Solve for x
    x = 1,154,430.31/1,582.36
  6. Step 6: Final answer
    x = 729.56

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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.