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Finding the Fourth Proportional to 715.92, 985.64 and 612.24

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Solution

The fourth proportional to 715.92, 985.64 and 612.24 is: 842.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    715.92 : 985.64 = 612.24 : x
  2. Step 2: Convert to fraction form
    715.92/985.64 = 612.24/x
  3. Step 3: Cross multiply
    715.92x = 985.64 × 612.24
  4. Step 4: Simplify right side
    715.92x = 603,448.23
  5. Step 5: Solve for x
    x = 603,448.23/715.92
  6. Step 6: Final answer
    x = 842.90

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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.