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Finding the Fourth Proportional to 661.10, 899.83 and 661.10

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Solution

The fourth proportional to 661.10, 899.83 and 661.10 is: 899.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.10 : 899.83 = 661.10 : x
  2. Step 2: Convert to fraction form
    661.10/899.83 = 661.10/x
  3. Step 3: Cross multiply
    661.10x = 899.83 × 661.10
  4. Step 4: Simplify right side
    661.10x = 594,877.61
  5. Step 5: Solve for x
    x = 594,877.61/661.10
  6. Step 6: Final answer
    x = 899.83

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.