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Finding the Fourth Proportional to 578.08, 803.28 and 572.16

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Solution

The fourth proportional to 578.08, 803.28 and 572.16 is: 795.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    578.08 : 803.28 = 572.16 : x
  2. Step 2: Convert to fraction form
    578.08/803.28 = 572.16/x
  3. Step 3: Cross multiply
    578.08x = 803.28 × 572.16
  4. Step 4: Simplify right side
    578.08x = 459,604.68
  5. Step 5: Solve for x
    x = 459,604.68/578.08
  6. Step 6: Final answer
    x = 795.05

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.