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Finding the Fourth Proportional to 752.30, 1,130.43 and 405.89

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Solution

The fourth proportional to 752.30, 1,130.43 and 405.89 is: 609.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    752.30 : 1,130.43 = 405.89 : x
  2. Step 2: Convert to fraction form
    752.30/1,130.43 = 405.89/x
  3. Step 3: Cross multiply
    752.30x = 1,130.43 × 405.89
  4. Step 4: Simplify right side
    752.30x = 458,830.23
  5. Step 5: Solve for x
    x = 458,830.23/752.30
  6. Step 6: Final answer
    x = 609.90

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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.