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Finding the Fourth Proportional to 722.35, 1,003.54 and 715.60

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Solution

The fourth proportional to 722.35, 1,003.54 and 715.60 is: 994.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    722.35 : 1,003.54 = 715.60 : x
  2. Step 2: Convert to fraction form
    722.35/1,003.54 = 715.60/x
  3. Step 3: Cross multiply
    722.35x = 1,003.54 × 715.60
  4. Step 4: Simplify right side
    722.35x = 718,133.22
  5. Step 5: Solve for x
    x = 718,133.22/722.35
  6. Step 6: Final answer
    x = 994.16

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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.