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Finding the Fourth Proportional to 659.60, 910.25 and 410.77

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Solution

The fourth proportional to 659.60, 910.25 and 410.77 is: 566.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.60 : 910.25 = 410.77 : x
  2. Step 2: Convert to fraction form
    659.60/910.25 = 410.77/x
  3. Step 3: Cross multiply
    659.60x = 910.25 × 410.77
  4. Step 4: Simplify right side
    659.60x = 373,908.77
  5. Step 5: Solve for x
    x = 373,908.77/659.60
  6. Step 6: Final answer
    x = 566.87

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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.