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Finding the Fourth Proportional to 1,045.37, 1,568.27 and 314.88

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Solution

The fourth proportional to 1,045.37, 1,568.27 and 314.88 is: 472.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,045.37 : 1,568.27 = 314.88 : x
  2. Step 2: Convert to fraction form
    1,045.37/1,568.27 = 314.88/x
  3. Step 3: Cross multiply
    1,045.37x = 1,568.27 × 314.88
  4. Step 4: Simplify right side
    1,045.37x = 493,816.86
  5. Step 5: Solve for x
    x = 493,816.86/1,045.37
  6. Step 6: Final answer
    x = 472.38

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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.