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Finding the Fourth Proportional to 703.77, 1,054.24 and 646.35

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Solution

The fourth proportional to 703.77, 1,054.24 and 646.35 is: 968.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    703.77 : 1,054.24 = 646.35 : x
  2. Step 2: Convert to fraction form
    703.77/1,054.24 = 646.35/x
  3. Step 3: Cross multiply
    703.77x = 1,054.24 × 646.35
  4. Step 4: Simplify right side
    703.77x = 681,408.02
  5. Step 5: Solve for x
    x = 681,408.02/703.77
  6. Step 6: Final answer
    x = 968.23

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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.