Home / 1,048.40-1,572.14-317.84

Finding the Fourth Proportional to 1,048.40, 1,572.14 and 317.84

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Solution

The fourth proportional to 1,048.40, 1,572.14 and 317.84 is: 476.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,048.40 : 1,572.14 = 317.84 : x
  2. Step 2: Convert to fraction form
    1,048.40/1,572.14 = 317.84/x
  3. Step 3: Cross multiply
    1,048.40x = 1,572.14 × 317.84
  4. Step 4: Simplify right side
    1,048.40x = 499,687.39
  5. Step 5: Solve for x
    x = 499,687.39/1,048.40
  6. Step 6: Final answer
    x = 476.62

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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.