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Finding the Fourth Proportional to 762.25, 1,050.36 and 585.20

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Solution

The fourth proportional to 762.25, 1,050.36 and 585.20 is: 806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.25 : 1,050.36 = 585.20 : x
  2. Step 2: Convert to fraction form
    762.25/1,050.36 = 585.20/x
  3. Step 3: Cross multiply
    762.25x = 1,050.36 × 585.20
  4. Step 4: Simplify right side
    762.25x = 614,670.67
  5. Step 5: Solve for x
    x = 614,670.67/762.25
  6. Step 6: Final answer
    x = 806.39

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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.