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Finding the Fourth Proportional to 863.72, 1,294.62 and 430.76

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Solution

The fourth proportional to 863.72, 1,294.62 and 430.76 is: 645.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    863.72 : 1,294.62 = 430.76 : x
  2. Step 2: Convert to fraction form
    863.72/1,294.62 = 430.76/x
  3. Step 3: Cross multiply
    863.72x = 1,294.62 × 430.76
  4. Step 4: Simplify right side
    863.72x = 557,670.51
  5. Step 5: Solve for x
    x = 557,670.51/863.72
  6. Step 6: Final answer
    x = 645.66

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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.