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Finding the Fourth Proportional to 762.51, 1,050.30 and 596.43

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Solution

The fourth proportional to 762.51, 1,050.30 and 596.43 is: 821.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.51 : 1,050.30 = 596.43 : x
  2. Step 2: Convert to fraction form
    762.51/1,050.30 = 596.43/x
  3. Step 3: Cross multiply
    762.51x = 1,050.30 × 596.43
  4. Step 4: Simplify right side
    762.51x = 626,430.43
  5. Step 5: Solve for x
    x = 626,430.43/762.51
  6. Step 6: Final answer
    x = 821.53

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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.