Home / 1,582.21-2,373.36-486.46

Finding the Fourth Proportional to 1,582.21, 2,373.36 and 486.46

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Solution

The fourth proportional to 1,582.21, 2,373.36 and 486.46 is: 729.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,582.21 : 2,373.36 = 486.46 : x
  2. Step 2: Convert to fraction form
    1,582.21/2,373.36 = 486.46/x
  3. Step 3: Cross multiply
    1,582.21x = 2,373.36 × 486.46
  4. Step 4: Simplify right side
    1,582.21x = 1,154,544.71
  5. Step 5: Solve for x
    x = 1,154,544.71/1,582.21
  6. Step 6: Final answer
    x = 729.70

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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.