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Finding the Fourth Proportional to 863.51, 1,292.83 and 657.23

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Solution

The fourth proportional to 863.51, 1,292.83 and 657.23 is: 983.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.51 : 1,292.83 = 657.23 : x
  2. Step 2: Convert to fraction form
    863.51/1,292.83 = 657.23/x
  3. Step 3: Cross multiply
    863.51x = 1,292.83 × 657.23
  4. Step 4: Simplify right side
    863.51x = 849,678.55
  5. Step 5: Solve for x
    x = 849,678.55/863.51
  6. Step 6: Final answer
    x = 983.99

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Double scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.