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Finding the Fourth Proportional to 713.51, 985.10 and 465.23

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Solution

The fourth proportional to 713.51, 985.10 and 465.23 is: 642.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.51 : 985.10 = 465.23 : x
  2. Step 2: Convert to fraction form
    713.51/985.10 = 465.23/x
  3. Step 3: Cross multiply
    713.51x = 985.10 × 465.23
  4. Step 4: Simplify right side
    713.51x = 458,295.75
  5. Step 5: Solve for x
    x = 458,295.75/713.51
  6. Step 6: Final answer
    x = 642.31

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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.