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Finding the Fourth Proportional to 614.60, 848.10 and 381.68

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Solution

The fourth proportional to 614.60, 848.10 and 381.68 is: 526.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    614.60 : 848.10 = 381.68 : x
  2. Step 2: Convert to fraction form
    614.60/848.10 = 381.68/x
  3. Step 3: Cross multiply
    614.60x = 848.10 × 381.68
  4. Step 4: Simplify right side
    614.60x = 323,702.81
  5. Step 5: Solve for x
    x = 323,702.81/614.60
  6. Step 6: Final answer
    x = 526.69

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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.