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Finding the Fourth Proportional to 565.55, 780.56 and 341.52

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Solution

The fourth proportional to 565.55, 780.56 and 341.52 is: 471.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    565.55 : 780.56 = 341.52 : x
  2. Step 2: Convert to fraction form
    565.55/780.56 = 341.52/x
  3. Step 3: Cross multiply
    565.55x = 780.56 × 341.52
  4. Step 4: Simplify right side
    565.55x = 266,575.14
  5. Step 5: Solve for x
    x = 266,575.14/565.55
  6. Step 6: Final answer
    x = 471.36

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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.