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Finding the Fourth Proportional to 621.07, 931.61 and 312.93

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Solution

The fourth proportional to 621.07, 931.61 and 312.93 is: 469.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    621.07 : 931.61 = 312.93 : x
  2. Step 2: Convert to fraction form
    621.07/931.61 = 312.93/x
  3. Step 3: Cross multiply
    621.07x = 931.61 × 312.93
  4. Step 4: Simplify right side
    621.07x = 291,527.97
  5. Step 5: Solve for x
    x = 291,527.97/621.07
  6. Step 6: Final answer
    x = 469.39

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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.