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Finding the Fourth Proportional to 560.39, 839.61 and 374.94

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Solution

The fourth proportional to 560.39, 839.61 and 374.94 is: 561.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    560.39 : 839.61 = 374.94 : x
  2. Step 2: Convert to fraction form
    560.39/839.61 = 374.94/x
  3. Step 3: Cross multiply
    560.39x = 839.61 × 374.94
  4. Step 4: Simplify right side
    560.39x = 314,803.37
  5. Step 5: Solve for x
    x = 314,803.37/560.39
  6. Step 6: Final answer
    x = 561.76

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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.