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Finding the Fourth Proportional to 614.40, 845.88 and 583.68

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Solution

The fourth proportional to 614.40, 845.88 and 583.68 is: 803.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 845.88 = 583.68 : x
  2. Step 2: Convert to fraction form
    614.40/845.88 = 583.68/x
  3. Step 3: Cross multiply
    614.40x = 845.88 × 583.68
  4. Step 4: Simplify right side
    614.40x = 493,723.24
  5. Step 5: Solve for x
    x = 493,723.24/614.40
  6. Step 6: Final answer
    x = 803.59

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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.