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Finding the Fourth Proportional to 660.74, 913.55 and 650.34

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Solution

The fourth proportional to 660.74, 913.55 and 650.34 is: 899.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    660.74 : 913.55 = 650.34 : x
  2. Step 2: Convert to fraction form
    660.74/913.55 = 650.34/x
  3. Step 3: Cross multiply
    660.74x = 913.55 × 650.34
  4. Step 4: Simplify right side
    660.74x = 594,114.86
  5. Step 5: Solve for x
    x = 594,114.86/660.74
  6. Step 6: Final answer
    x = 899.17

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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.