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Finding the Fourth Proportional to 565.03, 778.46 and 415.38

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Solution

The fourth proportional to 565.03, 778.46 and 415.38 is: 572.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.03 : 778.46 = 415.38 : x
  2. Step 2: Convert to fraction form
    565.03/778.46 = 415.38/x
  3. Step 3: Cross multiply
    565.03x = 778.46 × 415.38
  4. Step 4: Simplify right side
    565.03x = 323,356.71
  5. Step 5: Solve for x
    x = 323,356.71/565.03
  6. Step 6: Final answer
    x = 572.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.