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Finding the Fourth Proportional to 661.95, 912.74 and 474.84

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Solution

The fourth proportional to 661.95, 912.74 and 474.84 is: 654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.95 : 912.74 = 474.84 : x
  2. Step 2: Convert to fraction form
    661.95/912.74 = 474.84/x
  3. Step 3: Cross multiply
    661.95x = 912.74 × 474.84
  4. Step 4: Simplify right side
    661.95x = 433,403.09
  5. Step 5: Solve for x
    x = 433,403.09/661.95
  6. Step 6: Final answer
    x = 654.74

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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.