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Finding the Fourth Proportional to 744.36, 1,026.78 and 460.89

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Solution

The fourth proportional to 744.36, 1,026.78 and 460.89 is: 635.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.36 : 1,026.78 = 460.89 : x
  2. Step 2: Convert to fraction form
    744.36/1,026.78 = 460.89/x
  3. Step 3: Cross multiply
    744.36x = 1,026.78 × 460.89
  4. Step 4: Simplify right side
    744.36x = 473,227.50
  5. Step 5: Solve for x
    x = 473,227.50/744.36
  6. Step 6: Final answer
    x = 635.75

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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.