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Finding the Fourth Proportional to 575.28, 786.96 and 572.94

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Solution

The fourth proportional to 575.28, 786.96 and 572.94 is: 783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    575.28 : 786.96 = 572.94 : x
  2. Step 2: Convert to fraction form
    575.28/786.96 = 572.94/x
  3. Step 3: Cross multiply
    575.28x = 786.96 × 572.94
  4. Step 4: Simplify right side
    575.28x = 450,880.86
  5. Step 5: Solve for x
    x = 450,880.86/575.28
  6. Step 6: Final answer
    x = 783.76

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.