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Finding the Fourth Proportional to 715.77, 1,073.63 and 617.36

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Solution

The fourth proportional to 715.77, 1,073.63 and 617.36 is: 926.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.77 : 1,073.63 = 617.36 : x
  2. Step 2: Convert to fraction form
    715.77/1,073.63 = 617.36/x
  3. Step 3: Cross multiply
    715.77x = 1,073.63 × 617.36
  4. Step 4: Simplify right side
    715.77x = 662,812.39
  5. Step 5: Solve for x
    x = 662,812.39/715.77
  6. Step 6: Final answer
    x = 926.01

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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.