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Finding the Fourth Proportional to 661.93, 993.40 and 476.75

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Solution

The fourth proportional to 661.93, 993.40 and 476.75 is: 715.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.93 : 993.40 = 476.75 : x
  2. Step 2: Convert to fraction form
    661.93/993.40 = 476.75/x
  3. Step 3: Cross multiply
    661.93x = 993.40 × 476.75
  4. Step 4: Simplify right side
    661.93x = 473,600.27
  5. Step 5: Solve for x
    x = 473,600.27/661.93
  6. Step 6: Final answer
    x = 715.48

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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.