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Finding the Fourth Proportional to 713.67, 985.26 and 465.15

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Solution

The fourth proportional to 713.67, 985.26 and 465.15 is: 642.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.67 : 985.26 = 465.15 : x
  2. Step 2: Convert to fraction form
    713.67/985.26 = 465.15/x
  3. Step 3: Cross multiply
    713.67x = 985.26 × 465.15
  4. Step 4: Simplify right side
    713.67x = 458,293.69
  5. Step 5: Solve for x
    x = 458,293.69/713.67
  6. Step 6: Final answer
    x = 642.16

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1.5x scale

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.