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Finding the Fourth Proportional to 713.60, 985.21 and 465.36

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Solution

The fourth proportional to 713.60, 985.21 and 465.36 is: 642.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.60 : 985.21 = 465.36 : x
  2. Step 2: Convert to fraction form
    713.60/985.21 = 465.36/x
  3. Step 3: Cross multiply
    713.60x = 985.21 × 465.36
  4. Step 4: Simplify right side
    713.60x = 458,472.93
  5. Step 5: Solve for x
    x = 458,472.93/713.60
  6. Step 6: Final answer
    x = 642.47

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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.