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Finding the Fourth Proportional to 661.35, 912.83 and 464.93

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Solution

The fourth proportional to 661.35, 912.83 and 464.93 is: 641.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.35 : 912.83 = 464.93 : x
  2. Step 2: Convert to fraction form
    661.35/912.83 = 464.93/x
  3. Step 3: Cross multiply
    661.35x = 912.83 × 464.93
  4. Step 4: Simplify right side
    661.35x = 424,402.05
  5. Step 5: Solve for x
    x = 424,402.05/661.35
  6. Step 6: Final answer
    x = 641.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.