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Finding the Fourth Proportional to 957.08, 1,430.90 and 812.44

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Solution

The fourth proportional to 957.08, 1,430.90 and 812.44 is: 1,214.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    957.08 : 1,430.90 = 812.44 : x
  2. Step 2: Convert to fraction form
    957.08/1,430.90 = 812.44/x
  3. Step 3: Cross multiply
    957.08x = 1,430.90 × 812.44
  4. Step 4: Simplify right side
    957.08x = 1,162,520.40
  5. Step 5: Solve for x
    x = 1,162,520.40/957.08
  6. Step 6: Final answer
    x = 1,214.65

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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.