Home / 1,045.40-1,568.08-314.96

Finding the Fourth Proportional to 1,045.40, 1,568.08 and 314.96

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Solution

The fourth proportional to 1,045.40, 1,568.08 and 314.96 is: 472.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.40 : 1,568.08 = 314.96 : x
  2. Step 2: Convert to fraction form
    1,045.40/1,568.08 = 314.96/x
  3. Step 3: Cross multiply
    1,045.40x = 1,568.08 × 314.96
  4. Step 4: Simplify right side
    1,045.40x = 493,882.48
  5. Step 5: Solve for x
    x = 493,882.48/1,045.40
  6. Step 6: Final answer
    x = 472.43

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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.