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Finding the Fourth Proportional to 561.95, 775.01 and 422.40

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Solution

The fourth proportional to 561.95, 775.01 and 422.40 is: 582.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    561.95 : 775.01 = 422.40 : x
  2. Step 2: Convert to fraction form
    561.95/775.01 = 422.40/x
  3. Step 3: Cross multiply
    561.95x = 775.01 × 422.40
  4. Step 4: Simplify right side
    561.95x = 327,362.11
  5. Step 5: Solve for x
    x = 327,362.11/561.95
  6. Step 6: Final answer
    x = 582.55

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1.5x scale

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.