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Finding the Fourth Proportional to 809.96, 1,117.04 and 623.93

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Solution

The fourth proportional to 809.96, 1,117.04 and 623.93 is: 860.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    809.96 : 1,117.04 = 623.93 : x
  2. Step 2: Convert to fraction form
    809.96/1,117.04 = 623.93/x
  3. Step 3: Cross multiply
    809.96x = 1,117.04 × 623.93
  4. Step 4: Simplify right side
    809.96x = 696,946.06
  5. Step 5: Solve for x
    x = 696,946.06/809.96
  6. Step 6: Final answer
    x = 860.48

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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.