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Finding the Fourth Proportional to 762.51, 1,145.82 and 416.10

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Solution

The fourth proportional to 762.51, 1,145.82 and 416.10 is: 625.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.51 : 1,145.82 = 416.10 : x
  2. Step 2: Convert to fraction form
    762.51/1,145.82 = 416.10/x
  3. Step 3: Cross multiply
    762.51x = 1,145.82 × 416.10
  4. Step 4: Simplify right side
    762.51x = 476,775.70
  5. Step 5: Solve for x
    x = 476,775.70/762.51
  6. Step 6: Final answer
    x = 625.27

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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.