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Finding the Fourth Proportional to 614.40, 848.64 and 394.08

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Solution

The fourth proportional to 614.40, 848.64 and 394.08 is: 544.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.40 : 848.64 = 394.08 : x
  2. Step 2: Convert to fraction form
    614.40/848.64 = 394.08/x
  3. Step 3: Cross multiply
    614.40x = 848.64 × 394.08
  4. Step 4: Simplify right side
    614.40x = 334,432.05
  5. Step 5: Solve for x
    x = 334,432.05/614.40
  6. Step 6: Final answer
    x = 544.32

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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.