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Finding the Fourth Proportional to 783.48, 1,078.73 and 596.37

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Solution

The fourth proportional to 783.48, 1,078.73 and 596.37 is: 821.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    783.48 : 1,078.73 = 596.37 : x
  2. Step 2: Convert to fraction form
    783.48/1,078.73 = 596.37/x
  3. Step 3: Cross multiply
    783.48x = 1,078.73 × 596.37
  4. Step 4: Simplify right side
    783.48x = 643,322.21
  5. Step 5: Solve for x
    x = 643,322.21/783.48
  6. Step 6: Final answer
    x = 821.11

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1.5x scale

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.