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Finding the Fourth Proportional to 621.08, 931.62 and 312.86

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Solution

The fourth proportional to 621.08, 931.62 and 312.86 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.08 : 931.62 = 312.86 : x
  2. Step 2: Convert to fraction form
    621.08/931.62 = 312.86/x
  3. Step 3: Cross multiply
    621.08x = 931.62 × 312.86
  4. Step 4: Simplify right side
    621.08x = 291,466.63
  5. Step 5: Solve for x
    x = 291,466.63/621.08
  6. Step 6: Final answer
    x = 469.29

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.