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Finding the Fourth Proportional to 730.76, 1,009.33 and 633.72

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Solution

The fourth proportional to 730.76, 1,009.33 and 633.72 is: 875.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    730.76 : 1,009.33 = 633.72 : x
  2. Step 2: Convert to fraction form
    730.76/1,009.33 = 633.72/x
  3. Step 3: Cross multiply
    730.76x = 1,009.33 × 633.72
  4. Step 4: Simplify right side
    730.76x = 639,634.81
  5. Step 5: Solve for x
    x = 639,634.81/730.76
  6. Step 6: Final answer
    x = 875.31

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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.