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Finding the Fourth Proportional to 614.64, 848.61 and 393.69

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Solution

The fourth proportional to 614.64, 848.61 and 393.69 is: 543.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.64 : 848.61 = 393.69 : x
  2. Step 2: Convert to fraction form
    614.64/848.61 = 393.69/x
  3. Step 3: Cross multiply
    614.64x = 848.61 × 393.69
  4. Step 4: Simplify right side
    614.64x = 334,089.27
  5. Step 5: Solve for x
    x = 334,089.27/614.64
  6. Step 6: Final answer
    x = 543.55

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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.