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Finding the Fourth Proportional to 863.66, 1,294.40 and 430.94

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Solution

The fourth proportional to 863.66, 1,294.40 and 430.94 is: 645.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.66 : 1,294.40 = 430.94 : x
  2. Step 2: Convert to fraction form
    863.66/1,294.40 = 430.94/x
  3. Step 3: Cross multiply
    863.66x = 1,294.40 × 430.94
  4. Step 4: Simplify right side
    863.66x = 557,808.74
  5. Step 5: Solve for x
    x = 557,808.74/863.66
  6. Step 6: Final answer
    x = 645.87

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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.