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Finding the Fourth Proportional to 761.24, 1,049.96 and 466.60

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Solution

The fourth proportional to 761.24, 1,049.96 and 466.60 is: 643.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    761.24 : 1,049.96 = 466.60 : x
  2. Step 2: Convert to fraction form
    761.24/1,049.96 = 466.60/x
  3. Step 3: Cross multiply
    761.24x = 1,049.96 × 466.60
  4. Step 4: Simplify right side
    761.24x = 489,911.34
  5. Step 5: Solve for x
    x = 489,911.34/761.24
  6. Step 6: Final answer
    x = 643.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.