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Finding the Fourth Proportional to 623.31, 931.08 and 461.31

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Solution

The fourth proportional to 623.31, 931.08 and 461.31 is: 689.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.31 : 931.08 = 461.31 : x
  2. Step 2: Convert to fraction form
    623.31/931.08 = 461.31/x
  3. Step 3: Cross multiply
    623.31x = 931.08 × 461.31
  4. Step 4: Simplify right side
    623.31x = 429,516.51
  5. Step 5: Solve for x
    x = 429,516.51/623.31
  6. Step 6: Final answer
    x = 689.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.