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Finding the Fourth Proportional to 461.24, 690.31 and 384.35

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Solution

The fourth proportional to 461.24, 690.31 and 384.35 is: 575.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    461.24 : 690.31 = 384.35 : x
  2. Step 2: Convert to fraction form
    461.24/690.31 = 384.35/x
  3. Step 3: Cross multiply
    461.24x = 690.31 × 384.35
  4. Step 4: Simplify right side
    461.24x = 265,320.65
  5. Step 5: Solve for x
    x = 265,320.65/461.24
  6. Step 6: Final answer
    x = 575.23

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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.