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Finding the Fourth Proportional to 623.06, 930.71 and 461.06

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Solution

The fourth proportional to 623.06, 930.71 and 461.06 is: 688.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    623.06 : 930.71 = 461.06 : x
  2. Step 2: Convert to fraction form
    623.06/930.71 = 461.06/x
  3. Step 3: Cross multiply
    623.06x = 930.71 × 461.06
  4. Step 4: Simplify right side
    623.06x = 429,106.19
  5. Step 5: Solve for x
    x = 429,106.19/623.06
  6. Step 6: Final answer
    x = 688.71

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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.