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Finding the Fourth Proportional to 661.12, 912.68 and 465.40

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Solution

The fourth proportional to 661.12, 912.68 and 465.40 is: 642.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    661.12 : 912.68 = 465.40 : x
  2. Step 2: Convert to fraction form
    661.12/912.68 = 465.40/x
  3. Step 3: Cross multiply
    661.12x = 912.68 × 465.40
  4. Step 4: Simplify right side
    661.12x = 424,761.27
  5. Step 5: Solve for x
    x = 424,761.27/661.12
  6. Step 6: Final answer
    x = 642.49

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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.