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Finding the Fourth Proportional to 560.20, 839.16 and 377.68

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Solution

The fourth proportional to 560.20, 839.16 and 377.68 is: 565.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.20 : 839.16 = 377.68 : x
  2. Step 2: Convert to fraction form
    560.20/839.16 = 377.68/x
  3. Step 3: Cross multiply
    560.20x = 839.16 × 377.68
  4. Step 4: Simplify right side
    560.20x = 316,933.95
  5. Step 5: Solve for x
    x = 316,933.95/560.20
  6. Step 6: Final answer
    x = 565.75

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.