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Finding the Fourth Proportional to 614.95, 848.59 and 459.43

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Solution

The fourth proportional to 614.95, 848.59 and 459.43 is: 633.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.95 : 848.59 = 459.43 : x
  2. Step 2: Convert to fraction form
    614.95/848.59 = 459.43/x
  3. Step 3: Cross multiply
    614.95x = 848.59 × 459.43
  4. Step 4: Simplify right side
    614.95x = 389,867.70
  5. Step 5: Solve for x
    x = 389,867.70/614.95
  6. Step 6: Final answer
    x = 633.98

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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.