Home / 1,045.14-1,567.41-314.61

Finding the Fourth Proportional to 1,045.14, 1,567.41 and 314.61

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Solution

The fourth proportional to 1,045.14, 1,567.41 and 314.61 is: 471.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.14 : 1,567.41 = 314.61 : x
  2. Step 2: Convert to fraction form
    1,045.14/1,567.41 = 314.61/x
  3. Step 3: Cross multiply
    1,045.14x = 1,567.41 × 314.61
  4. Step 4: Simplify right side
    1,045.14x = 493,122.86
  5. Step 5: Solve for x
    x = 493,122.86/1,045.14
  6. Step 6: Final answer
    x = 471.82

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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.