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Finding the Fourth Proportional to 713.16, 985.86 and 684.36

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Solution

The fourth proportional to 713.16, 985.86 and 684.36 is: 946.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    713.16 : 985.86 = 684.36 : x
  2. Step 2: Convert to fraction form
    713.16/985.86 = 684.36/x
  3. Step 3: Cross multiply
    713.16x = 985.86 × 684.36
  4. Step 4: Simplify right side
    713.16x = 674,683.15
  5. Step 5: Solve for x
    x = 674,683.15/713.16
  6. Step 6: Final answer
    x = 946.05

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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.