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Finding the Fourth Proportional to 762.85, 1,058.49 and 732

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Solution

The fourth proportional to 762.85, 1,058.49 and 732 is: 1,015.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    762.85 : 1,058.49 = 732 : x
  2. Step 2: Convert to fraction form
    762.85/1,058.49 = 732/x
  3. Step 3: Cross multiply
    762.85x = 1,058.49 × 732
  4. Step 4: Simplify right side
    762.85x = 774,811.02
  5. Step 5: Solve for x
    x = 774,811.02/762.85
  6. Step 6: Final answer
    x = 1,015.69

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.