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Finding the Fourth Proportional to 614.64, 852.41 and 562.74

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Solution

The fourth proportional to 614.64, 852.41 and 562.74 is: 780.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 852.41 = 562.74 : x
  2. Step 2: Convert to fraction form
    614.64/852.41 = 562.74/x
  3. Step 3: Cross multiply
    614.64x = 852.41 × 562.74
  4. Step 4: Simplify right side
    614.64x = 479,678.13
  5. Step 5: Solve for x
    x = 479,678.13/614.64
  6. Step 6: Final answer
    x = 780.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.