Home / 1,045.40-1,568.09-314.95

Finding the Fourth Proportional to 1,045.40, 1,568.09 and 314.95

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Solution

The fourth proportional to 1,045.40, 1,568.09 and 314.95 is: 472.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.40 : 1,568.09 = 314.95 : x
  2. Step 2: Convert to fraction form
    1,045.40/1,568.09 = 314.95/x
  3. Step 3: Cross multiply
    1,045.40x = 1,568.09 × 314.95
  4. Step 4: Simplify right side
    1,045.40x = 493,860.53
  5. Step 5: Solve for x
    x = 493,860.53/1,045.40
  6. Step 6: Final answer
    x = 472.42

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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.