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Finding the Fourth Proportional to 659.36, 984.74 and 560.81

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Solution

The fourth proportional to 659.36, 984.74 and 560.81 is: 837.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    659.36 : 984.74 = 560.81 : x
  2. Step 2: Convert to fraction form
    659.36/984.74 = 560.81/x
  3. Step 3: Cross multiply
    659.36x = 984.74 × 560.81
  4. Step 4: Simplify right side
    659.36x = 552,255.90
  5. Step 5: Solve for x
    x = 552,255.90/659.36
  6. Step 6: Final answer
    x = 837.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.