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Finding the Fourth Proportional to 744.76, 1,027.74 and 430.03

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Solution

The fourth proportional to 744.76, 1,027.74 and 430.03 is: 593.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.76 : 1,027.74 = 430.03 : x
  2. Step 2: Convert to fraction form
    744.76/1,027.74 = 430.03/x
  3. Step 3: Cross multiply
    744.76x = 1,027.74 × 430.03
  4. Step 4: Simplify right side
    744.76x = 441,953.89
  5. Step 5: Solve for x
    x = 441,953.89/744.76
  6. Step 6: Final answer
    x = 593.42

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1.5x scale

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.