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Finding the Fourth Proportional to 752.77, 1,129.58 and 406.10

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Solution

The fourth proportional to 752.77, 1,129.58 and 406.10 is: 609.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.77 : 1,129.58 = 406.10 : x
  2. Step 2: Convert to fraction form
    752.77/1,129.58 = 406.10/x
  3. Step 3: Cross multiply
    752.77x = 1,129.58 × 406.10
  4. Step 4: Simplify right side
    752.77x = 458,714.76
  5. Step 5: Solve for x
    x = 458,714.76/752.77
  6. Step 6: Final answer
    x = 609.37

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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.