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Finding the Fourth Proportional to 661.36, 990.72 and 524.64

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Solution

The fourth proportional to 661.36, 990.72 and 524.64 is: 785.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.36 : 990.72 = 524.64 : x
  2. Step 2: Convert to fraction form
    661.36/990.72 = 524.64/x
  3. Step 3: Cross multiply
    661.36x = 990.72 × 524.64
  4. Step 4: Simplify right side
    661.36x = 519,771.34
  5. Step 5: Solve for x
    x = 519,771.34/661.36
  6. Step 6: Final answer
    x = 785.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.