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Finding the Fourth Proportional to 917.64, 1,266.98 and 720.81

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Solution

The fourth proportional to 917.64, 1,266.98 and 720.81 is: 995.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    917.64 : 1,266.98 = 720.81 : x
  2. Step 2: Convert to fraction form
    917.64/1,266.98 = 720.81/x
  3. Step 3: Cross multiply
    917.64x = 1,266.98 × 720.81
  4. Step 4: Simplify right side
    917.64x = 913,248.25
  5. Step 5: Solve for x
    x = 913,248.25/917.64
  6. Step 6: Final answer
    x = 995.21

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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.