Home / 1,045.24-1,568.12-314.80

Finding the Fourth Proportional to 1,045.24, 1,568.12 and 314.80

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Solution

The fourth proportional to 1,045.24, 1,568.12 and 314.80 is: 472.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.24 : 1,568.12 = 314.80 : x
  2. Step 2: Convert to fraction form
    1,045.24/1,568.12 = 314.80/x
  3. Step 3: Cross multiply
    1,045.24x = 1,568.12 × 314.80
  4. Step 4: Simplify right side
    1,045.24x = 493,644.18
  5. Step 5: Solve for x
    x = 493,644.18/1,045.24
  6. Step 6: Final answer
    x = 472.28

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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.