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Finding the Fourth Proportional to 744.70, 1,028.19 and 465.05

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Solution

The fourth proportional to 744.70, 1,028.19 and 465.05 is: 642.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    744.70 : 1,028.19 = 465.05 : x
  2. Step 2: Convert to fraction form
    744.70/1,028.19 = 465.05/x
  3. Step 3: Cross multiply
    744.70x = 1,028.19 × 465.05
  4. Step 4: Simplify right side
    744.70x = 478,159.76
  5. Step 5: Solve for x
    x = 478,159.76/744.70
  6. Step 6: Final answer
    x = 642.08

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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.