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Finding the Fourth Proportional to 661.62, 912.77 and 609.17

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Solution

The fourth proportional to 661.62, 912.77 and 609.17 is: 840.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.62 : 912.77 = 609.17 : x
  2. Step 2: Convert to fraction form
    661.62/912.77 = 609.17/x
  3. Step 3: Cross multiply
    661.62x = 912.77 × 609.17
  4. Step 4: Simplify right side
    661.62x = 556,026.78
  5. Step 5: Solve for x
    x = 556,026.78/661.62
  6. Step 6: Final answer
    x = 840.40

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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.