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Finding the Fourth Proportional to 746.66, 1,030.35 and 466.88

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Solution

The fourth proportional to 746.66, 1,030.35 and 466.88 is: 644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    746.66 : 1,030.35 = 466.88 : x
  2. Step 2: Convert to fraction form
    746.66/1,030.35 = 466.88/x
  3. Step 3: Cross multiply
    746.66x = 1,030.35 × 466.88
  4. Step 4: Simplify right side
    746.66x = 481,050.05
  5. Step 5: Solve for x
    x = 481,050.05/746.66
  6. Step 6: Final answer
    x = 644.27

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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.